diff --git a/src/fe/fe_hierarchic_shape_3D.C b/src/fe/fe_hierarchic_shape_3D.C
index 4b4b378e882..618829e1e51 100644
--- a/src/fe/fe_hierarchic_shape_3D.C
+++ b/src/fe/fe_hierarchic_shape_3D.C
@@ -1230,6 +1230,10 @@ Real FE<3,SIDE_HIERARCHIC>::shape_deriv(const Elem * elem,
     {
     case HEX27:
       {
+        // I need to debug the p>2 case here...
+        if (totalorder > 2)
+          return fe_fdm_deriv(elem, order, i, j, p, add_p_level, FE<3,SIDE_HIERARCHIC>::shape);
+
         const unsigned int dofs_per_side = (totalorder+1u)*(totalorder+1u);
         libmesh_assert_less(i, 6*dofs_per_side);
 
@@ -1486,6 +1490,11 @@ Real FE<3,SIDE_HIERARCHIC>::shape_second_deriv(const Elem * elem,
     {
     case HEX27:
       {
+        // I need to debug the p>2 case here...
+        if (totalorder > 2)
+          return fe_fdm_second_deriv(elem, order, i, j, p, add_p_level,
+                                     FE<3,SIDE_HIERARCHIC>::shape_deriv);
+
         const unsigned int dofs_per_side = (totalorder+1u)*(totalorder+1u);
         libmesh_assert_less(i, 6*dofs_per_side);
 
diff --git a/src/fe/fe_interface.C b/src/fe/fe_interface.C
index 017073c24ca..0c9f7d0fa7d 100644
--- a/src/fe/fe_interface.C
+++ b/src/fe/fe_interface.C
@@ -2676,8 +2676,7 @@ unsigned int FEInterface::max_order(const FEType & fe_t,
         case HEX20:
           return 0;
         case HEX27:
-          return 2; // p=3+ is still buggy in 3D
-          // return unlimited;
+          return unlimited;
         case PRISM6:
         case PRISM15:
         case PRISM18:
diff --git a/tests/fe/fe_side_test.C b/tests/fe/fe_side_test.C
index 385e6c7f732..aa95e3ae073 100644
--- a/tests/fe/fe_side_test.C
+++ b/tests/fe/fe_side_test.C
@@ -582,8 +582,8 @@ INSTANTIATE_FESIDETEST(FOURTH, SIDE_HIERARCHIC, TRI7);
 INSTANTIATE_FESIDETEST(CONSTANT, SIDE_HIERARCHIC, HEX27);
 INSTANTIATE_FESIDETEST(FIRST, SIDE_HIERARCHIC, HEX27);
 INSTANTIATE_FESIDETEST(SECOND, SIDE_HIERARCHIC, HEX27);
-//INSTANTIATE_FESIDETEST(THIRD, SIDE_HIERARCHIC, HEX27);
-//INSTANTIATE_FESIDETEST(FOURTH, SIDE_HIERARCHIC, HEX27);
+INSTANTIATE_FESIDETEST(THIRD, SIDE_HIERARCHIC, HEX27);
+INSTANTIATE_FESIDETEST(FOURTH, SIDE_HIERARCHIC, HEX27);
 //
 INSTANTIATE_FESIDETEST(CONSTANT, SIDE_HIERARCHIC, TET14);
 INSTANTIATE_FESIDETEST(FIRST, SIDE_HIERARCHIC, TET14);