diff --git a/framework/include/utils/MooseTypes.h b/framework/include/utils/MooseTypes.h
index 35d0b6f4367c..da5708d60969 100644
--- a/framework/include/utils/MooseTypes.h
+++ b/framework/include/utils/MooseTypes.h
@@ -750,18 +750,12 @@ enum LineSearchType
   LS_DEFAULT,
   LS_NONE,
   LS_BASIC,
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-  LS_CUBIC,
-  LS_QUADRATIC,
-  LS_BASICNONORMS,
-#else
   LS_SHELL,
   LS_CONTACT,
   LS_PROJECT,
   LS_L2,
   LS_BT,
   LS_CP
-#endif
 };
 
 /**
diff --git a/framework/include/utils/PetscDMMoose.h b/framework/include/utils/PetscDMMoose.h
index 6fc614b965bc..784fcb703956 100644
--- a/framework/include/utils/PetscDMMoose.h
+++ b/framework/include/utils/PetscDMMoose.h
@@ -9,11 +9,8 @@
 
 #pragma once
 
-// This only works with petsc-3.3 and above.
 #include "libmesh/petsc_macro.h"
 
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
-
 // PETSc includes
 #include <petscdm.h>
 #define DMMOOSE "moose"
@@ -58,5 +55,3 @@ extern PetscErrorCode DMMooseGetSplitBlocks(DM, const std::string &, std::set<st
 extern PetscErrorCode DMMooseSetSplitSides(DM, const std::string &, const std::set<std::string> &);
 extern PetscErrorCode DMMooseGetSplitSides(DM, const std::string &, std::set<std::string> &);
 extern PetscErrorCode SNESUpdateDMMoose(SNES snes, PetscInt iteration);
-
-#endif // #if !PETSC_VERSION_LESS_THAN(3,3,0)
diff --git a/framework/include/utils/PetscSupport.h b/framework/include/utils/PetscSupport.h
index c85a91f2389c..eeb54cbb0de0 100644
--- a/framework/include/utils/PetscSupport.h
+++ b/framework/include/utils/PetscSupport.h
@@ -160,10 +160,6 @@ void disableNonlinearConvergedReason(FEProblemBase & fe_problem);
  */
 void disableLinearConvergedReason(FEProblemBase & fe_problem);
 
-#if PETSC_VERSION_LESS_THAN(3, 4, 0)
-#define SNESGETLINESEARCH SNESGetSNESLineSearch
-#else
 #define SNESGETLINESEARCH SNESGetLineSearch
-#endif
 }
 }
diff --git a/framework/src/preconditioners/FieldSplitPreconditioner.C b/framework/src/preconditioners/FieldSplitPreconditioner.C
index cb3c05c481fd..2c5863598497 100644
--- a/framework/src/preconditioners/FieldSplitPreconditioner.C
+++ b/framework/src/preconditioners/FieldSplitPreconditioner.C
@@ -8,7 +8,6 @@
 //* https://www.gnu.org/licenses/lgpl-2.1.html
 
 #include "libmesh/petsc_macro.h"
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
 #include "FieldSplitPreconditioner.h"
 
 // MOOSE includes
@@ -97,5 +96,3 @@ FieldSplitPreconditioner::FieldSplitPreconditioner(const InputParameters & param
   // apply prefix and store PETSc options
   _fe_problem.getNonlinearSystemBase().setupFieldDecomposition();
 }
-
-#endif
diff --git a/framework/src/splits/Split.C b/framework/src/splits/Split.C
index fb93b2af09e6..1695b876d36e 100644
--- a/framework/src/splits/Split.C
+++ b/framework/src/splits/Split.C
@@ -91,11 +91,6 @@ Split::Split(const InputParameters & parameters)
 void
 Split::setup(const std::string & prefix)
 {
-// petsc 3.3.0 or later needed
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-  mooseError("The Splits functionality requires PETSc 3.3.0 or later.");
-#endif
-
   // The Split::setup() implementation does not actually depend on any
   // specific version of PETSc, so there's no need to wrap the entire
   // function.
@@ -147,15 +142,7 @@ Split::setup(const std::string & prefix)
                             petsc_schur_type[_splitting_type]);
 
       // set Schur Preconditioner
-      const std::string petsc_schur_pre[] = {
-        "self",
-        "selfp",
-#if PETSC_VERSION_LESS_THAN(3, 4, 0)
-        "diag"
-#else
-        "a11"
-#endif
-      };
+      const std::string petsc_schur_pre[] = {"self", "selfp", "a11"};
       po.pairs.emplace_back(prefix + "pc_fieldsplit_schur_precondition",
                             petsc_schur_pre[_schur_pre]);
 
diff --git a/framework/src/systems/NonlinearSystem.C b/framework/src/systems/NonlinearSystem.C
index 41d3c61c0c4d..fc258b2df240 100644
--- a/framework/src/systems/NonlinearSystem.C
+++ b/framework/src/systems/NonlinearSystem.C
@@ -208,22 +208,15 @@ NonlinearSystem::solve()
   _final_residual = _nl_implicit_sys.final_nonlinear_residual();
 
   if (_use_coloring_finite_difference)
-#if PETSC_VERSION_LESS_THAN(3, 2, 0)
-    MatFDColoringDestroy(_fdcoloring);
-#else
     MatFDColoringDestroy(&_fdcoloring);
-#endif
 }
 
 void
 NonlinearSystem::stopSolve()
 {
-#if PETSC_VERSION_LESS_THAN(3, 0, 0)
-#else
   PetscNonlinearSolver<Real> & solver =
       static_cast<PetscNonlinearSolver<Real> &>(*sys().nonlinear_solver);
   SNESSetFunctionDomainError(solver.snes());
-#endif
 
   // Insert a NaN into the residual vector.  As of PETSc-3.6, this
   // should make PETSc return DIVERGED_NANORINF the next time it does
@@ -283,11 +276,7 @@ NonlinearSystem::setupStandardFiniteDifferencedPreconditioner()
   SNESSetJacobian(petsc_nonlinear_solver->snes(),
                   petsc_mat->mat(),
                   petsc_mat->mat(),
-#if PETSC_VERSION_LESS_THAN(3, 4, 0)
-                  SNESDefaultComputeJacobian,
-#else
                   SNESComputeJacobianDefault,
-#endif
                   nullptr);
 }
 
@@ -304,12 +293,6 @@ NonlinearSystem::setupColoringFiniteDifferencedPreconditioner()
   PetscMatrix<Number> * petsc_mat =
       dynamic_cast<PetscMatrix<Number> *>(&_nl_implicit_sys.get_system_matrix());
 
-#if PETSC_VERSION_LESS_THAN(3, 2, 0)
-  // This variable is only needed for PETSC < 3.2.0
-  PetscVector<Number> * petsc_vec =
-      dynamic_cast<PetscVector<Number> *>(_nl_implicit_sys.solution.get());
-#endif
-
   Moose::compute_jacobian(*_nl_implicit_sys.current_local_solution, *petsc_mat, _nl_implicit_sys);
 
   if (!petsc_mat)
@@ -320,15 +303,6 @@ NonlinearSystem::setupColoringFiniteDifferencedPreconditioner()
   PetscErrorCode ierr = 0;
   ISColoring iscoloring;
 
-#if PETSC_VERSION_LESS_THAN(3, 2, 0)
-  // PETSc 3.2.x
-  ierr = MatGetColoring(petsc_mat->mat(), MATCOLORING_LF, &iscoloring);
-  CHKERRABORT(libMesh::COMM_WORLD, ierr);
-#elif PETSC_VERSION_LESS_THAN(3, 5, 0)
-  // PETSc 3.3.x, 3.4.x
-  ierr = MatGetColoring(petsc_mat->mat(), MATCOLORINGLF, &iscoloring);
-  CHKERRABORT(_communicator.get(), ierr);
-#else
   // PETSc 3.5.x
   MatColoring matcoloring;
   ierr = MatColoringCreate(petsc_mat->mat(), &matcoloring);
@@ -341,7 +315,6 @@ NonlinearSystem::setupColoringFiniteDifferencedPreconditioner()
   CHKERRABORT(_communicator.get(), ierr);
   ierr = MatColoringDestroy(&matcoloring);
   CHKERRABORT(_communicator.get(), ierr);
-#endif
 
   MatFDColoringCreate(petsc_mat->mat(), iscoloring, &_fdcoloring);
   MatFDColoringSetFromOptions(_fdcoloring);
@@ -351,36 +324,14 @@ NonlinearSystem::setupColoringFiniteDifferencedPreconditioner()
                                libMesh::libmesh_petsc_snes_fd_residual,
                            &petsc_nonlinear_solver);
   // clang-format on
-#if !PETSC_RELEASE_LESS_THAN(3, 5, 0)
   MatFDColoringSetUp(petsc_mat->mat(), iscoloring, _fdcoloring);
-#endif
-#if PETSC_VERSION_LESS_THAN(3, 4, 0)
-  SNESSetJacobian(petsc_nonlinear_solver.snes(),
-                  petsc_mat->mat(),
-                  petsc_mat->mat(),
-                  SNESDefaultComputeJacobianColor,
-                  _fdcoloring);
-#else
   SNESSetJacobian(petsc_nonlinear_solver.snes(),
                   petsc_mat->mat(),
                   petsc_mat->mat(),
                   SNESComputeJacobianDefaultColor,
                   _fdcoloring);
-#endif
-#if PETSC_VERSION_LESS_THAN(3, 2, 0)
-  Mat my_mat = petsc_mat->mat();
-  MatStructure my_struct;
-
-  SNESComputeJacobian(
-      petsc_nonlinear_solver.snes(), petsc_vec->vec(), &my_mat, &my_mat, &my_struct);
-#endif
-
-#if PETSC_VERSION_LESS_THAN(3, 2, 0)
-  ISColoringDestroy(iscoloring);
-#else
-  // PETSc 3.3.0
+  // PETSc >=3.3.0
   ISColoringDestroy(&iscoloring);
-#endif
 }
 
 bool
diff --git a/framework/src/systems/NonlinearSystemBase.C b/framework/src/systems/NonlinearSystemBase.C
index a5f328b3ce6d..15808e5b1522 100644
--- a/framework/src/systems/NonlinearSystemBase.C
+++ b/framework/src/systems/NonlinearSystemBase.C
@@ -97,12 +97,10 @@
 #include <ios>
 
 #include "petscsnes.h"
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
 #include <PetscDMMoose.h>
 EXTERN_C_BEGIN
 extern PetscErrorCode DMCreate_Moose(DM);
 EXTERN_C_END
-#endif
 
 NonlinearSystemBase::NonlinearSystemBase(FEProblemBase & fe_problem,
                                          System & sys,
@@ -1870,8 +1868,6 @@ NonlinearSystemBase::constraintJacobians(bool displaced)
 
   auto & jacobian = getMatrix(systemMatrixTag());
 
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-#else
   if (!_fe_problem.errorOnJacobianNonzeroReallocation())
     MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(),
                  MAT_NEW_NONZERO_ALLOCATION_ERR,
@@ -1879,7 +1875,6 @@ NonlinearSystemBase::constraintJacobians(bool displaced)
   if (_fe_problem.ignoreZerosInJacobian())
     MatSetOption(
         static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE);
-#endif
 
   std::vector<numeric_index_type> zero_rows;
   std::map<std::pair<unsigned int, unsigned int>, PenetrationLocator *> * penetration_locators =
@@ -2063,18 +2058,9 @@ NonlinearSystemBase::constraintJacobians(bool displaced)
 
       if (constraints_applied)
       {
-#if PETSC_VERSION_LESS_THAN(3, 0, 0)
-        MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_KEEP_ZEROED_ROWS);
-#elif PETSC_VERSION_LESS_THAN(3, 1, 0)
-        // In Petsc 3.0.0, MatSetOption has three args...the third arg
-        // determines whether the option is set (true) or unset (false)
-        MatSetOption(
-            static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_KEEP_ZEROED_ROWS, PETSC_TRUE);
-#else
         MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(),
                      MAT_KEEP_NONZERO_PATTERN, // This is changed in 3.1
                      PETSC_TRUE);
-#endif
 
         jacobian.close();
         jacobian.zero_rows(zero_rows, 0.0);
@@ -2091,19 +2077,9 @@ NonlinearSystemBase::constraintJacobians(bool displaced)
 
     if (constraints_applied)
     {
-// Necessary for speed
-#if PETSC_VERSION_LESS_THAN(3, 0, 0)
-      MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_KEEP_ZEROED_ROWS);
-#elif PETSC_VERSION_LESS_THAN(3, 1, 0)
-      // In Petsc 3.0.0, MatSetOption has three args...the third arg
-      // determines whether the option is set (true) or unset (false)
-      MatSetOption(
-          static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_KEEP_ZEROED_ROWS, PETSC_TRUE);
-#else
       MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(),
                    MAT_KEEP_NONZERO_PATTERN, // This is changed in 3.1
                    PETSC_TRUE);
-#endif
 
       jacobian.close();
       jacobian.zero_rows(zero_rows, 0.0);
@@ -2294,19 +2270,9 @@ NonlinearSystemBase::constraintJacobians(bool displaced)
 
   if (constraints_applied)
   {
-// Necessary for speed
-#if PETSC_VERSION_LESS_THAN(3, 0, 0)
-    MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_KEEP_ZEROED_ROWS);
-#elif PETSC_VERSION_LESS_THAN(3, 1, 0)
-    // In Petsc 3.0.0, MatSetOption has three args...the third arg
-    // determines whether the option is set (true) or unset (false)
-    MatSetOption(
-        static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_KEEP_ZEROED_ROWS, PETSC_TRUE);
-#else
     MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(),
                  MAT_KEEP_NONZERO_PATTERN, // This is changed in 3.1
                  PETSC_TRUE);
-#endif
 
     jacobian.close();
     jacobian.zero_rows(zero_rows, 0.0);
@@ -2402,22 +2368,12 @@ NonlinearSystemBase::computeJacobianInternal(const std::set<TagID> & tags)
     // Necessary for speed
     if (auto petsc_matrix = dynamic_cast<PetscMatrix<Number> *>(&jacobian))
     {
-#if PETSC_VERSION_LESS_THAN(3, 0, 0)
-      MatSetOption(petsc_matrix->mat(), MAT_KEEP_ZEROED_ROWS);
-#elif PETSC_VERSION_LESS_THAN(3, 1, 0)
-      // In Petsc 3.0.0, MatSetOption has three args...the third arg
-      // determines whether the option is set (true) or unset (false)
-      MatSetOption(petsc_matrix->mat(), MAT_KEEP_ZEROED_ROWS, PETSC_TRUE);
-#else
       MatSetOption(petsc_matrix->mat(),
                    MAT_KEEP_NONZERO_PATTERN, // This is changed in 3.1
                    PETSC_TRUE);
-#endif // PETSC_VERSION
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
       if (!_fe_problem.errorOnJacobianNonzeroReallocation())
         MatSetOption(petsc_matrix->mat(), MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE);
     }
-#endif // PETSC_VERSION
   }
 
   jacobianSetup();
@@ -2782,26 +2738,13 @@ NonlinearSystemBase::computeJacobianBlocks(std::vector<JacobianBlock *> & blocks
   {
     SparseMatrix<Number> & jacobian = blocks[i]->_jacobian;
 
-// Necessary for speed
-#if PETSC_VERSION_LESS_THAN(3, 0, 0)
-    MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_KEEP_ZEROED_ROWS);
-#elif PETSC_VERSION_LESS_THAN(3, 1, 0)
-      // In Petsc 3.0.0, MatSetOption has three args...the third arg
-      // determines whether the option is set (true) or unset (false)
-      MatSetOption(
-          static_cast<PetscMatrix<Number> &>(jacobian).mat(), MAT_KEEP_ZEROED_ROWS, PETSC_TRUE);
-#else
+    MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(),
+                 MAT_KEEP_NONZERO_PATTERN, // This is changed in 3.1
+                 PETSC_TRUE);
+    if (!_fe_problem.errorOnJacobianNonzeroReallocation())
       MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(),
-                   MAT_KEEP_NONZERO_PATTERN, // This is changed in 3.1
+                   MAT_NEW_NONZERO_ALLOCATION_ERR,
                    PETSC_TRUE);
-#endif
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-#else
-      if (!_fe_problem.errorOnJacobianNonzeroReallocation())
-        MatSetOption(static_cast<PetscMatrix<Number> &>(jacobian).mat(),
-                     MAT_NEW_NONZERO_ALLOCATION_ERR,
-                     PETSC_TRUE);
-#endif
 
     jacobian.zero();
   }
diff --git a/framework/src/utils/ColumnMajorMatrix.C b/framework/src/utils/ColumnMajorMatrix.C
index 1afd252c3180..7fa442bed414 100644
--- a/framework/src/utils/ColumnMajorMatrix.C
+++ b/framework/src/utils/ColumnMajorMatrix.C
@@ -18,10 +18,6 @@
 #include <petscsys.h>
 #include <petscblaslapack.h>
 
-#if PETSC_VERSION_LESS_THAN(3, 5, 0)
-extern "C" void FORTRAN_CALL(dgetri)(...); // matrix inversion routine from LAPACK
-#endif
-
 template <typename T>
 ColumnMajorMatrixTempl<T>::ColumnMajorMatrixTempl(unsigned int rows, unsigned int cols)
   : _n_rows(rows), _n_cols(cols), _n_entries(rows * cols), _values(rows * cols, 0.0)
diff --git a/framework/src/utils/Conversion.C b/framework/src/utils/Conversion.C
index ad68ce8593f2..1537e9f786db 100644
--- a/framework/src/utils/Conversion.C
+++ b/framework/src/utils/Conversion.C
@@ -131,18 +131,12 @@ initLineSearchType()
     line_search_type_to_enum["NONE"] = LS_NONE;
     line_search_type_to_enum["BASIC"] = LS_BASIC;
 
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-    line_search_type_to_enum["CUBIC"] = LS_CUBIC;
-    line_search_type_to_enum["QUADRATIC"] = LS_QUADRATIC;
-    line_search_type_to_enum["BASICNONORMS"] = LS_BASICNONORMS;
-#else
     line_search_type_to_enum["SHELL"] = LS_SHELL;
     line_search_type_to_enum["L2"] = LS_L2;
     line_search_type_to_enum["BT"] = LS_BT;
     line_search_type_to_enum["CP"] = LS_CP;
     line_search_type_to_enum["CONTACT"] = LS_CONTACT;
     line_search_type_to_enum["PROJECT"] = LS_PROJECT;
-#endif
   }
 }
 
diff --git a/framework/src/utils/MatrixTools.C b/framework/src/utils/MatrixTools.C
index 3645e420cf3f..b76757ac4e4a 100644
--- a/framework/src/utils/MatrixTools.C
+++ b/framework/src/utils/MatrixTools.C
@@ -17,10 +17,6 @@
 // PETSc includes
 #include "petscblaslapack.h"
 
-#if PETSC_VERSION_LESS_THAN(3, 5, 0)
-extern "C" void FORTRAN_CALL(dgetri)(...); // matrix inversion routine from LAPACK
-#endif
-
 namespace MatrixTools
 {
 void
@@ -80,16 +76,6 @@ inverse(std::vector<PetscScalar> & A, unsigned int n)
 
   // get the inverse of A
   PetscBLASInt buffer_size = buffer.size();
-#if PETSC_VERSION_LESS_THAN(3, 5, 0)
-  FORTRAN_CALL(dgetri)
-  (reinterpret_cast<PetscBLASInt *>(&n),
-   &A[0],
-   reinterpret_cast<PetscBLASInt *>(&n),
-   &ipiv[0],
-   &buffer[0],
-   &buffer_size,
-   &return_value);
-#else
   LAPACKgetri_(reinterpret_cast<PetscBLASInt *>(&n),
                &A[0],
                reinterpret_cast<PetscBLASInt *>(&n),
@@ -97,7 +83,6 @@ inverse(std::vector<PetscScalar> & A, unsigned int n)
                &buffer[0],
                &buffer_size,
                &return_value);
-#endif
 
   if (return_value != 0)
     throw MooseException(return_value < 0
diff --git a/framework/src/utils/PetscDMMoose.C b/framework/src/utils/PetscDMMoose.C
index d8031cc1f903..029fc8c71788 100644
--- a/framework/src/utils/PetscDMMoose.C
+++ b/framework/src/utils/PetscDMMoose.C
@@ -10,10 +10,6 @@
 // This only works with petsc-3.3 and above.
 #include "libmesh/petsc_macro.h"
 
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
-// Inside these guards we can use PETSC_VERSION_LT, which need not be
-// modified upon transition from dev to a release.
-
 #include "PetscDMMoose.h"
 
 // PETSc includes
@@ -1042,14 +1038,9 @@ DMCreateFieldDecomposition_Moose(
         CHKERRQ(ierr);
         if (dmm->_embedding)
         {
-/* Create a relative embedding into the parent's index space. */
-#if PETSC_VERSION_LT(3, 4, 0)
-          ierr = ISMapFactorRight(dembedding, dmm->_embedding, PETSC_TRUE, &lembedding);
-          CHKERRQ(ierr);
-#else
+          // Create a relative embedding into the parent's index space.
           ierr = ISEmbed(dembedding, dmm->_embedding, PETSC_TRUE, &lembedding);
           CHKERRQ(ierr);
-#endif
           const PetscInt * lindices;
           PetscInt len, dlen, llen, *rindices, off, i;
           ierr = ISGetLocalSize(dembedding, &dlen);
@@ -1130,52 +1121,6 @@ DMCreateDomainDecomposition_Moose(
   PetscFunctionReturn(0);
 }
 
-#if PETSC_VERSION_LT(3, 4, 0)
-#undef __FUNCT__
-#define __FUNCT__ "DMCreateFieldDecompositionDM_Moose"
-PetscErrorCode
-DMCreateFieldDecompositionDM_Moose(DM dm, const char * /*name*/, DM * ddm)
-{
-  PetscErrorCode ierr;
-  PetscBool ismoose;
-
-  PetscFunctionBegin;
-  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
-  ierr = PetscObjectTypeCompare((PetscObject)dm, DMMOOSE, &ismoose);
-  CHKERRQ(ierr);
-  /* Return self. */
-  if (*ddm)
-  {
-    ierr = PetscObjectReference((PetscObject)dm);
-    CHKERRQ(ierr);
-    *ddm = dm;
-  }
-  PetscFunctionReturn(0);
-}
-
-#undef __FUNCT__
-#define __FUNCT__ "DMCreateDomainDecompositionDM_Moose"
-PetscErrorCode
-DMCreateDomainDecompositionDM_Moose(DM dm, const char * /*name*/, DM * ddm)
-{
-  PetscErrorCode ierr;
-  PetscBool ismoose;
-
-  PetscFunctionBegin;
-  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
-  ierr = PetscObjectTypeCompare((PetscObject)dm, DMMOOSE, &ismoose);
-  CHKERRQ(ierr);
-  /* Return self. */
-  if (*ddm)
-  {
-    ierr = PetscObjectReference((PetscObject)dm);
-    CHKERRQ(ierr);
-    *ddm = dm;
-  }
-  PetscFunctionReturn(0);
-}
-#endif
-
 #undef __FUNCT__
 #define __FUNCT__ "DMMooseFunction"
 static PetscErrorCode
@@ -1250,7 +1195,6 @@ DMMooseFunction(DM dm, Vec x, Vec r)
   PetscFunctionReturn(0);
 }
 
-#if !PETSC_VERSION_LT(3, 4, 0)
 #undef __FUNCT__
 #define __FUNCT__ "SNESFunction_DMMoose"
 static PetscErrorCode
@@ -1264,17 +1208,11 @@ SNESFunction_DMMoose(SNES, Vec x, Vec r, void * ctx)
   CHKERRQ(ierr);
   PetscFunctionReturn(0);
 }
-#endif
 
 #undef __FUNCT__
 #define __FUNCT__ "DMMooseJacobian"
-#if PETSC_VERSION_LT(3, 5, 0)
-static PetscErrorCode
-DMMooseJacobian(DM dm, Vec x, Mat jac, Mat pc, MatStructure * msflag)
-#else
 static PetscErrorCode
 DMMooseJacobian(DM dm, Vec x, Mat jac, Mat pc)
-#endif
 {
   PetscErrorCode ierr;
   NonlinearSystemBase * nl = NULL;
@@ -1352,37 +1290,22 @@ DMMooseJacobian(DM dm, Vec x, Mat jac, Mat pc)
   }
   the_pc.close();
   Jac.close();
-#if PETSC_VERSION_LT(3, 5, 0)
-  *msflag = SAME_NONZERO_PATTERN;
-#endif
   PetscFunctionReturn(0);
 }
 
-#if !PETSC_VERSION_LT(3, 4, 0)
 #undef __FUNCT__
 #define __FUNCT__ "SNESJacobian_DMMoose"
-#if PETSC_VERSION_LT(3, 5, 0)
-static PetscErrorCode
-SNESJacobian_DMMoose(SNES, Vec x, Mat * jac, Mat * pc, MatStructure * flag, void * ctx)
-#else
 static PetscErrorCode
 SNESJacobian_DMMoose(SNES, Vec x, Mat jac, Mat pc, void * ctx)
-#endif
 {
   DM dm = (DM)ctx;
   PetscErrorCode ierr;
 
   PetscFunctionBegin;
-#if PETSC_VERSION_LT(3, 5, 0)
-  ierr = DMMooseJacobian(dm, x, *jac, *pc, flag);
-  CHKERRQ(ierr);
-#else
   ierr = DMMooseJacobian(dm, x, jac, pc);
   CHKERRQ(ierr);
-#endif
   PetscFunctionReturn(0);
 }
-#endif
 
 #undef __FUNCT__
 #define __FUNCT__ "DMVariableBounds_Moose"
@@ -1399,17 +1322,10 @@ DMVariableBounds_Moose(DM dm, Vec xl, Vec xu)
   PetscVector<Number> XL(xl, nl->comm());
   PetscVector<Number> XU(xu, nl->comm());
 
-#if PETSC_VERSION_LESS_THAN(3, 5, 0) && PETSC_VERSION_RELEASE
-  ierr = VecSet(xl, SNES_VI_NINF);
-  CHKERRQ(ierr);
-  ierr = VecSet(xu, SNES_VI_INF);
-  CHKERRQ(ierr);
-#else
   ierr = VecSet(xl, PETSC_NINFINITY);
   CHKERRQ(ierr);
   ierr = VecSet(xu, PETSC_INFINITY);
   CHKERRQ(ierr);
-#endif
   if (nl->nonlinearSolver()->bounds != NULL)
     nl->nonlinearSolver()->bounds(XL, XU, nl->nonlinearSolver()->system());
   else if (nl->nonlinearSolver()->bounds_object != NULL)
@@ -1481,20 +1397,13 @@ DMCreateGlobalVector_Moose(DM dm, Vec * x)
 
 #undef __FUNCT__
 #define __FUNCT__ "DMCreateMatrix_Moose"
-#if PETSC_VERSION_LT(3, 5, 0)
-static PetscErrorCode
-DMCreateMatrix_Moose(DM dm, const MatType type, Mat * A)
-#else
 static PetscErrorCode
 DMCreateMatrix_Moose(DM dm, Mat * A)
-#endif
 {
   PetscErrorCode ierr;
   DM_Moose * dmm = (DM_Moose *)(dm->data);
   PetscBool ismoose;
-#if !PETSC_RELEASE_LESS_THAN(3, 5, 0)
   MatType type;
-#endif
 
   PetscFunctionBegin;
   ierr = PetscObjectTypeCompare((PetscObject)dm, DMMOOSE, &ismoose);
@@ -1507,11 +1416,9 @@ DMCreateMatrix_Moose(DM dm, Mat * A)
              DMMOOSE);
   if (!dmm->_nl)
     SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_WRONGSTATE, "No Moose system set for DM_Moose");
-// No PETSC_VERSION_GE macro prior to petsc-3.4
-#if !PETSC_VERSION_LT(3, 5, 0)
   ierr = DMGetMatType(dm, &type);
   CHKERRQ(ierr);
-#endif
+
   /*
    The simplest thing for now: compute the sparsity_pattern using dof_map and init the matrix using
    that info.
@@ -2056,17 +1963,10 @@ DMSetUp_Moose(DM dm)
   if (dmm->_all_vars && dmm->_all_blocks && dmm->_nosides && dmm->_nounsides && dmm->_nocontacts &&
       dmm->_nouncontacts)
   {
-#if PETSC_VERSION_LT(3, 4, 0)
-    ierr = DMSetFunction(dm, DMMooseFunction);
-    CHKERRQ(ierr);
-    ierr = DMSetJacobian(dm, DMMooseJacobian);
-    CHKERRQ(ierr);
-#else
     ierr = DMSNESSetFunction(dm, SNESFunction_DMMoose, (void *)dm);
     CHKERRQ(ierr);
     ierr = DMSNESSetJacobian(dm, SNESJacobian_DMMoose, (void *)dm);
     CHKERRQ(ierr);
-#endif
     if (dmm->_nl->nonlinearSolver()->bounds || dmm->_nl->nonlinearSolver()->bounds_object)
       ierr = DMSetVariableBounds(dm, DMVariableBounds_Moose);
     CHKERRQ(ierr);
@@ -2088,11 +1988,14 @@ DMSetUp_Moose(DM dm)
 #undef __FUNCT__
 #define __FUNCT__ "DMSetFromOptions_Moose"
 #if !PETSC_VERSION_LESS_THAN(3, 7, 0)
-PetscErrorCode DMSetFromOptions_Moose(PetscOptionItems * /*options*/, DM dm) // >= 3.7.0
+PetscErrorCode
+DMSetFromOptions_Moose(PetscOptionItems * /*options*/, DM dm) // >= 3.7.0
 #elif !PETSC_RELEASE_LESS_THAN(3, 6, 0)
-PetscErrorCode DMSetFromOptions_Moose(PetscOptions * /*options*/, DM dm) // >= 3.6.0
+PetscErrorCode
+DMSetFromOptions_Moose(PetscOptions * /*options*/, DM dm) // >= 3.6.0
 #else
-PetscErrorCode DMSetFromOptions_Moose(DM dm) // < 3.6.0
+PetscErrorCode
+DMSetFromOptions_Moose(DM dm) // < 3.6.0
 #endif
 {
   PetscErrorCode ierr;
@@ -2552,10 +2455,6 @@ DMCreate_Moose(DM dm)
   dm->ops->createinjection = 0;
 #endif
 
-#if PETSC_VERSION_LT(3, 4, 0)
-  dm->ops->createfielddecompositiondm = DMCreateFieldDecompositionDM_Moose;
-  dm->ops->createdomaindecompositiondm = DMCreateDomainDecompositionDM_Moose;
-#endif
   dm->ops->createfielddecomposition = DMCreateFieldDecomposition_Moose;
   dm->ops->createdomaindecomposition = DMCreateDomainDecomposition_Moose;
 
@@ -2632,15 +2531,9 @@ DMMooseRegisterAll()
   PetscFunctionBegin;
   if (!DMMooseRegisterAllCalled)
   {
-#if PETSC_VERSION_LESS_THAN(3, 4, 0)
-    ierr = DMRegister(DMMOOSE, PETSC_NULL, "DMCreate_Moose", DMCreate_Moose);
-    CHKERRQ(ierr);
-#else
     ierr = DMRegister(DMMOOSE, DMCreate_Moose);
     CHKERRQ(ierr);
-#endif
     DMMooseRegisterAllCalled = PETSC_TRUE;
   }
   PetscFunctionReturn(0);
 }
-#endif // #if !PETSC_VERSION_LESS_THAN(3,3,0)
diff --git a/framework/src/utils/PetscSupport.C b/framework/src/utils/PetscSupport.C
index bde0ad160357..d7d364d6901f 100644
--- a/framework/src/utils/PetscSupport.C
+++ b/framework/src/utils/PetscSupport.C
@@ -45,15 +45,7 @@
 // For graph coloring
 #include <petscmat.h>
 #include <petscis.h>
-
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-// PETSc 3.2.x and lower
-#include <private/kspimpl.h>
-#include <private/snesimpl.h>
-#else
-// PETSc 3.3.0+
 #include <petscdm.h>
-#endif
 
 // PetscDMMoose include
 #include "PetscDMMoose.h"
@@ -109,14 +101,6 @@ stringify(const LineSearchType & t)
       return "default";
     case LS_NONE:
       return "none";
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-    case LS_CUBIC:
-      return "cubic";
-    case LS_QUADRATIC:
-      return "quadratic";
-    case LS_BASICNONORMS:
-      return "basicnonorms";
-#else
     case LS_SHELL:
       return "shell";
     case LS_L2:
@@ -129,7 +113,6 @@ stringify(const LineSearchType & t)
       return "contact";
     case LS_PROJECT:
       return "project";
-#endif
     case LS_INVALID:
       mooseError("Invalid LineSearchType");
   }
@@ -185,20 +168,12 @@ setSolverOptions(SolverParams & solver_params)
     ls_type = Moose::LS_BASIC;
 
   if (ls_type != Moose::LS_DEFAULT && ls_type != Moose::LS_CONTACT && ls_type != Moose::LS_PROJECT)
-  {
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-    setSinglePetscOption("-snes_type", "ls");
-    setSinglePetscOption("-snes_ls", stringify(ls_type));
-#else
     setSinglePetscOption("-snes_linesearch_type", stringify(ls_type));
-#endif
-  }
 }
 
 void
 petscSetupDM(NonlinearSystemBase & nl)
 {
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
   PetscErrorCode ierr;
   PetscBool ismoose;
   DM dm = PETSC_NULL;
@@ -231,15 +206,14 @@ petscSetupDM(NonlinearSystemBase & nl)
   CHKERRABORT(nl.comm().get(), ierr);
   ierr = DMDestroy(&dm);
   CHKERRABORT(nl.comm().get(), ierr);
-// We temporarily comment out this updating function because
-// we lack an approach to check if the problem
-// structure has been changed from the last iteration.
-// The indices will be rebuilt for every timestep.
-// TODO: figure out a way to check the structure changes of the
-// matrix
-// ierr = SNESSetUpdate(snes,SNESUpdateDMMoose);
-// CHKERRABORT(nl.comm().get(),ierr);
-#endif
+  // We temporarily comment out this updating function because
+  // we lack an approach to check if the problem
+  // structure has been changed from the last iteration.
+  // The indices will be rebuilt for every timestep.
+  // TODO: figure out a way to check the structure changes of the
+  // matrix
+  // ierr = SNESSetUpdate(snes,SNESUpdateDMMoose);
+  // CHKERRABORT(nl.comm().get(),ierr);
 }
 
 void
@@ -358,10 +332,9 @@ petscNonlinearConverged(SNES snes,
   }
 #endif
 
-// See if SNESSetFunctionDomainError() has been called.  Note:
-// SNESSetFunctionDomainError() and SNESGetFunctionDomainError()
-// were added in different releases of PETSc.
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
+  // See if SNESSetFunctionDomainError() has been called.  Note:
+  // SNESSetFunctionDomainError() and SNESGetFunctionDomainError()
+  // were added in different releases of PETSc.
   PetscBool domainerror;
   ierr = SNESGetFunctionDomainError(snes, &domainerror);
   CHKERRABORT(problem.comm().get(), ierr);
@@ -370,7 +343,6 @@ petscNonlinearConverged(SNES snes,
     *reason = SNES_DIVERGED_FUNCTION_DOMAIN;
     return 0;
   }
-#endif
 
   // Error message that will be set by the FEProblemBase.
   std::string msg;
@@ -417,11 +389,7 @@ petscNonlinearConverged(SNES snes,
       break;
 
     case MooseNonlinearConvergenceReason::CONVERGED_SNORM_RELATIVE:
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-      *reason = SNES_CONVERGED_PNORM_RELATIVE;
-#else
       *reason = SNES_CONVERGED_SNORM_RELATIVE;
-#endif
       break;
 
     case MooseNonlinearConvergenceReason::DIVERGED_FUNCTION_COUNT:
@@ -433,11 +401,7 @@ petscNonlinearConverged(SNES snes,
       break;
 
     case MooseNonlinearConvergenceReason::DIVERGED_LINE_SEARCH:
-#if PETSC_VERSION_LESS_THAN(3, 2, 0)
-      *reason = SNES_DIVERGED_LS_FAILURE;
-#else
       *reason = SNES_DIVERGED_LINE_SEARCH;
-#endif
       break;
 
     case MooseNonlinearConvergenceReason::DIVERGED_NL_RESIDUAL_PINGPONG:
@@ -499,16 +463,9 @@ petscSetDefaultPCSide(FEProblemBase & problem, KSP ksp)
 {
   NonlinearSystemBase & nl = problem.getNonlinearSystemBase();
 
-#if PETSC_VERSION_LESS_THAN(3, 2, 0)
-  // pc_side is NOT set, PETSc will make the decision
-  // PETSc 3.1.x-
-  if (nl.getPCSide() != Moose::PCS_DEFAULT)
-    KSPSetPreconditionerSide(ksp, getPetscPCSide(nl.getPCSide()));
-#else
   // PETSc 3.2.x+
   if (nl.getPCSide() != Moose::PCS_DEFAULT)
     KSPSetPCSide(ksp, getPetscPCSide(nl.getPCSide()));
-#endif
 }
 
 void
@@ -546,12 +503,6 @@ petscSetDefaults(FEProblemBase & problem)
 
   SNESSetMaxLinearSolveFailures(snes, 1000000);
 
-#if PETSC_VERSION_LESS_THAN(3, 0, 0)
-  // PETSc 2.3.3-
-  SNESSetConvergenceTest(snes, petscNonlinearConverged, &problem);
-#else
-  // PETSc 3.0.0+
-
   // In 3.0.0, the context pointer must actually be used, and the
   // final argument to KSPSetConvergenceTest() is a pointer to a
   // routine for destroying said private data context.  In this case,
@@ -561,7 +512,6 @@ petscSetDefaults(FEProblemBase & problem)
     auto ierr = SNESSetConvergenceTest(snes, petscNonlinearConverged, &problem, PETSC_NULL);
     CHKERRABORT(nl.comm().get(), ierr);
   }
-#endif
 
   petscSetKSPDefaults(problem, ksp);
 }
@@ -826,11 +776,7 @@ storePetscOptions(FEProblemBase & fe_problem, const InputParameters & params)
 std::set<std::string>
 getPetscValidLineSearches()
 {
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-  return {"default", "cubic", "quadratic", "none", "basic", "basicnonorms"};
-#else
   return {"default", "shell", "none", "basic", "l2", "bt", "cp"};
-#endif
 }
 
 InputParameters
@@ -961,9 +907,6 @@ colorAdjacencyMatrix(PetscScalar * adjacency_matrix,
              &A);
 
   ISColoring iscoloring;
-#if PETSC_VERSION_LESS_THAN(3, 5, 0)
-  MatGetColoring(A, coloring_algorithm, &iscoloring);
-#else
   MatColoring mc;
   MatColoringCreate(A, &mc);
   MatColoringSetType(mc, coloring_algorithm);
@@ -973,7 +916,6 @@ colorAdjacencyMatrix(PetscScalar * adjacency_matrix,
   MatColoringSetDistance(mc, 1);
   MatColoringSetFromOptions(mc);
   MatColoringApply(mc, &iscoloring);
-#endif
 
   PetscInt nn;
   IS * is;
@@ -1001,10 +943,7 @@ colorAdjacencyMatrix(PetscScalar * adjacency_matrix,
   }
 
   MatDestroy(&A);
-#if !PETSC_VERSION_LESS_THAN(3, 5, 0)
   MatColoringDestroy(&mc);
-#endif
-  ISColoringDestroy(&iscoloring);
 }
 
 void
diff --git a/modules/contact/include/linesearches/PetscContactLineSearch.h b/modules/contact/include/linesearches/PetscContactLineSearch.h
index 00a7ccad00b7..f30e1c0218ec 100644
--- a/modules/contact/include/linesearches/PetscContactLineSearch.h
+++ b/modules/contact/include/linesearches/PetscContactLineSearch.h
@@ -12,9 +12,6 @@
 #include "libmesh/libmesh_common.h"
 #include "libmesh/petsc_macro.h"
 
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-#else
-
 #include "ContactLineSearchBase.h"
 
 using namespace libMesh;
@@ -40,5 +37,3 @@ class PetscContactLineSearch : public ContactLineSearchBase
 protected:
   PetscNonlinearSolver<Real> * _solver;
 };
-
-#endif // PETSC_VERSION_LESS_THAN(3, 3, 0)
diff --git a/modules/contact/include/linesearches/PetscProjectSolutionOntoBounds.h b/modules/contact/include/linesearches/PetscProjectSolutionOntoBounds.h
index b3ea813b0e61..67767559babb 100644
--- a/modules/contact/include/linesearches/PetscProjectSolutionOntoBounds.h
+++ b/modules/contact/include/linesearches/PetscProjectSolutionOntoBounds.h
@@ -12,9 +12,6 @@
 #include "libmesh/libmesh_common.h"
 #include "libmesh/petsc_macro.h"
 
-#if PETSC_VERSION_LESS_THAN(3, 3, 0)
-#else
-
 #include "LineSearch.h"
 
 #include <map>
@@ -53,5 +50,3 @@ class PetscProjectSolutionOntoBounds : public LineSearch
   const std::map<std::pair<unsigned int, unsigned int>, PenetrationLocator *> *
       _pentration_locators;
 };
-
-#endif // PETSC_VERSION_LESS_THAN(3, 3, 0)
diff --git a/modules/contact/include/splits/ContactSplit.h b/modules/contact/include/splits/ContactSplit.h
index c6c8e72f5506..0489193a06c3 100644
--- a/modules/contact/include/splits/ContactSplit.h
+++ b/modules/contact/include/splits/ContactSplit.h
@@ -23,12 +23,10 @@ class ContactSplit : public Split
   ContactSplit(const InputParameters & params);
   virtual void setup(const std::string & prefix = "-") override;
 
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
 protected:
   const std::vector<std::pair<BoundaryName, BoundaryName>> _contact_pairs;
   std::vector<int> _contact_displaced;
   const std::vector<std::pair<BoundaryName, BoundaryName>> _uncontact_pairs;
   std::vector<int> _uncontact_displaced;
   bool _include_all_contact_nodes;
-#endif // !PETSC_VERSION_LESS_THAN(3,3,0)
 };
diff --git a/modules/contact/src/linesearches/PetscContactLineSearch.C b/modules/contact/src/linesearches/PetscContactLineSearch.C
index 80bd7a224996..c62fb913562a 100644
--- a/modules/contact/src/linesearches/PetscContactLineSearch.C
+++ b/modules/contact/src/linesearches/PetscContactLineSearch.C
@@ -187,4 +187,4 @@ PetscContactLineSearch::lineSearch()
   _old_contact_state = std::move(contact_state_stored);
 }
 
-#endif // !PETSC_VERSION_LESS_THAN(3, 3, 0)
+#endif // !PETSC_VERSION_LESS_THAN(3, 6, 0)
diff --git a/modules/contact/src/linesearches/PetscProjectSolutionOntoBounds.C b/modules/contact/src/linesearches/PetscProjectSolutionOntoBounds.C
index 478f27e6d358..c46fdf4dbb1b 100644
--- a/modules/contact/src/linesearches/PetscProjectSolutionOntoBounds.C
+++ b/modules/contact/src/linesearches/PetscProjectSolutionOntoBounds.C
@@ -164,4 +164,4 @@ PetscProjectSolutionOntoBounds::lineSearch()
   LIBMESH_CHKERR(ierr);
 }
 
-#endif // !PETSC_VERSION_LESS_THAN(3, 3, 0)
+#endif // !PETSC_VERSION_LESS_THAN(3, 6, 0)
diff --git a/modules/contact/src/splits/ContactSplit.C b/modules/contact/src/splits/ContactSplit.C
index ff799a831ef4..999e732de934 100644
--- a/modules/contact/src/splits/ContactSplit.C
+++ b/modules/contact/src/splits/ContactSplit.C
@@ -12,7 +12,6 @@
 #include "FEProblem.h"
 #include "Conversion.h"
 
-#if !PETSC_VERSION_LESS_THAN(3, 3, 0)
 registerMooseObject("ContactApp", ContactSplit);
 
 InputParameters
@@ -114,4 +113,3 @@ ContactSplit::setup(const std::string & prefix)
                         _include_all_contact_nodes ? "yes" : "no");
   Split::setup(prefix);
 }
-#endif // #if !PETSC_VERSION_LESS_THAN(3, 3, 0)
diff --git a/modules/contact/test/tests/pressure/tests b/modules/contact/test/tests/pressure/tests
index 9953b360b3ac..67d323bbccb6 100644
--- a/modules/contact/test/tests/pressure/tests
+++ b/modules/contact/test/tests/pressure/tests
@@ -6,7 +6,6 @@
     input = 'pressureAugLag.i'
     exodiff = 'pressureAugLag_out.e'
     custom_cmp = 'pressure.exodiff'
-    petsc_version = '>=3.1'
     max_parallel = 1
     requirement = 'The contact system shall reproduce contact pressure results among various formulation types. Augmented Lagrangian formulation.'
   [../]
diff --git a/test/tests/materials/material_dependency/tests b/test/tests/materials/material_dependency/tests
index 68c8d4b543c1..fad0454dd8c8 100644
--- a/test/tests/materials/material_dependency/tests
+++ b/test/tests/materials/material_dependency/tests
@@ -4,11 +4,6 @@
     input = 'diff_kernel_aux_mat_dep.i'
     exodiff = 'diff_kernel_aux_mat_dep_out.e'
     max_threads = 1
-    # The Material in this test effectively counts the number of residual
-    # evaluations performed by the code, and that varies between older and
-    # newer versions of PETSc due to the changes in 3061bbd5d. This test is
-    # therefore only valid with newer versions of PETSc.
-    petsc_version = '>=3.5.0'
     petsc_version_release = true
     compiler = '!INTEL'
 
diff --git a/test/tests/outputs/iterative/tests b/test/tests/outputs/iterative/tests
index aab626ba369f..b25cd2a457f8 100644
--- a/test/tests/outputs/iterative/tests
+++ b/test/tests/outputs/iterative/tests
@@ -76,9 +76,6 @@
     max_threads = 1
     # no. of iterations is not recoverable
     recover = false
-    # This test requires a different number of residual evaluations in older PETScs
-    # due to the changes in 3061bbd5d.
-    petsc_version = '>=3.5.0'
     petsc_version_release = true
     compiler = '!INTEL'
 
diff --git a/test/tests/preconditioners/fsp/tests b/test/tests/preconditioners/fsp/tests
index 0acba056d26f..0f7285075a0e 100644
--- a/test/tests/preconditioners/fsp/tests
+++ b/test/tests/preconditioners/fsp/tests
@@ -9,8 +9,6 @@
       input = 'fsp_test.i'
       exodiff = 'out.e'
       max_parallel = 1
-      # Splits require PETSc >= 3.3.0
-      petsc_version = '>=3.3.0'
 
       detail = "a single subdomain and"
     []
@@ -20,8 +18,6 @@
       exodiff = 'kitten_out.e'
       max_parallel = 4
       min_parallel = 4
-      # Splits require PETSc >= 3.3.0
-      petsc_version = '>=3.3.0'
       vtk = true
 
       detail = "multiple subdomains."
diff --git a/test/tests/userobjects/shape_element_user_object/tests b/test/tests/userobjects/shape_element_user_object/tests
index ea1e6e4e10c3..df8b7cf2e562 100644
--- a/test/tests/userobjects/shape_element_user_object/tests
+++ b/test/tests/userobjects/shape_element_user_object/tests
@@ -65,7 +65,6 @@
       # This tests sometimes reports an incorrect jacobian when run
       # with multiple threads.
       max_threads = 1
-      petsc_version = '>=3.5.0'
 
       detail = 'on the side of elements, and'
     []