diff --git a/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/channel-hybrid.i b/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/channel-hybrid.i
new file mode 100644
index 000000000000..62ea5bdc0778
--- /dev/null
+++ b/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/channel-hybrid.i
@@ -0,0 +1,200 @@
+mu = 1.1
+rho = 1.1
+
+[Mesh]
+  [gen]
+    type = GeneratedMeshGenerator
+    dim = 2
+    xmin = 0
+    xmax = 10
+    ymin = -1
+    ymax = 1
+    nx = 100
+    ny = 20
+  []
+[]
+
+[Variables]
+  [u]
+    family = MONOMIAL
+  []
+  [v]
+    family = MONOMIAL
+  []
+  [pressure][]
+[]
+
+[Kernels]
+  [momentum_x_convection]
+    type = ADConservativeAdvection
+    variable = u
+    velocity = 'velocity'
+    advected_quantity = 'rhou'
+  []
+  [momentum_x_diffusion]
+    type = MatDiffusion
+    variable = u
+    diffusivity = 'mu'
+  []
+  [momentum_x_pressure]
+    type = DGMomentumPressure
+    variable = u
+    pressure = pressure
+    component = 0
+  []
+  [momentum_y_convection]
+    type = ADConservativeAdvection
+    variable = v
+    velocity = 'velocity'
+    advected_quantity = 'rhov'
+  []
+  [momentum_y_diffusion]
+    type = MatDiffusion
+    variable = v
+    diffusivity = 'mu'
+  []
+  [momentum_y_pressure]
+    type = DGMomentumPressure
+    variable = v
+    pressure = pressure
+    component = 1
+  []
+  [mass]
+    type = CGMass
+    variable = pressure
+    velocity = velocity
+  []
+[]
+
+[DGKernels]
+  [momentum_x_convection]
+    type = ADDGConvection
+    variable = u
+    velocity = 'velocity'
+    advected_quantity = 'rhou'
+  []
+  [momentum_x_diffusion]
+    type = DGDiffusion
+    variable = u
+    sigma = 6
+    epsilon = -1
+    diff = 'mu'
+  []
+  [momentum_y_convection]
+    type = ADDGConvection
+    variable = v
+    velocity = 'velocity'
+    advected_quantity = 'rhov'
+  []
+  [momentum_y_diffusion]
+    type = DGDiffusion
+    variable = v
+    sigma = 6
+    epsilon = -1
+    diff = 'mu'
+  []
+[]
+
+[Functions]
+  [v_inlet]
+    type = ParsedVectorFunction
+    expression_x = '1'
+  []
+[]
+
+[BCs]
+  [u_walls]
+    type = DGFunctionDiffusionDirichletBC
+    boundary = 'bottom top'
+    variable = u
+    sigma = 6
+    epsilon = -1
+    function = '0'
+    diff = 'mu'
+  []
+  [v_walls]
+    type = DGFunctionDiffusionDirichletBC
+    boundary = 'bottom top'
+    variable = v
+    sigma = 6
+    epsilon = -1
+    function = '0'
+    diff = 'mu'
+  []
+  [u_in]
+    type = ADDGConvectionBC
+    boundary = 'left'
+    variable = u
+    velocity_function = v_inlet
+    primal_dirichlet_value = 1
+    rho = 'rho'
+  []
+  [v_in]
+    type = ADDGConvectionBC
+    boundary = 'left'
+    variable = v
+    velocity_function = v_inlet
+    primal_dirichlet_value = 0
+    rho = 'rho'
+  []
+  [p_in]
+    type = ADDGConvectionBC
+    boundary = 'left'
+    variable = pressure
+    velocity_function = v_inlet
+    # Have to switch sign because we multiplied the mass equation weak
+    # form by -1 in order to get a symmetric matrix
+    primal_dirichlet_value = -1
+  []
+  [u_out]
+    type = ADDGConvectionBC
+    boundary = 'right'
+    variable = u
+    velocity_mat_prop = 'velocity'
+    advected_quantity = 'rhou'
+  []
+  [v_out]
+    type = ADDGConvectionBC
+    boundary = 'right'
+    variable = v
+    velocity_mat_prop = 'velocity'
+    advected_quantity = 'rhov'
+  []
+  [p_out]
+    type = DirichletBC
+    variable = pressure
+    boundary = 'right'
+    value = 0
+  []
+[]
+
+[Materials]
+  [const]
+    type = ADGenericConstantMaterial
+    prop_names = 'rho'
+    prop_values = '${rho}'
+  []
+  [const_reg]
+    type = GenericConstantMaterial
+    prop_names = 'mu'
+    prop_values = '${mu}'
+  []
+  [vel]
+    type = CGDGMaterial
+    u = u
+    v = v
+    rho = 'rho'
+  []
+[]
+
+[Executioner]
+  type = Steady
+  solve_type = 'NEWTON'
+  petsc_options_iname = '-pc_type -pc_factor_shift_type'
+  petsc_options_value = 'lu       NONZERO'
+  nl_rel_tol = 1e-12
+[]
+
+[Outputs]
+  exodus = true
+[]
diff --git a/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/gold/channel-hybrid_out.e b/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/gold/channel-hybrid_out.e
new file mode 100644
index 000000000000..9f81396ea72b
Binary files /dev/null and b/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/gold/channel-hybrid_out.e differ
diff --git a/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/tests b/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/tests
index 168043ab8b56..cc17aae8ab8c 100644
--- a/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/tests
+++ b/modules/navier_stokes/test/tests/finite_volume/ins/lid-driven/tests
@@ -111,4 +111,12 @@
       ratio_tol = 1e-7
     []
   []
+  [hybrid-channel]
+    type = Exodiff
+    input = channel-hybrid.i
+    exodiff = channel-hybrid_out.e
+    requirement = 'The system shall be able to solve a channel flow problem using a hybrid CG-DG discretization with first Lagrange pressure and first monomial velocity.'
+    method = "!dbg"
+    valgrind = 'none'
+  []
 []