diff --git a/test/tests/unit/transfers/gold/two_way_tet10_transfer_master_out.csv b/test/tests/unit/transfers/gold/two_way_tet10_transfer_master_out.csv
new file mode 100644
index 00000000..9d1f27dd
--- /dev/null
+++ b/test/tests/unit/transfers/gold/two_way_tet10_transfer_master_out.csv
@@ -0,0 +1,3 @@
+time,l2_difference
+0,0
+1,0
diff --git a/test/tests/unit/transfers/tests b/test/tests/unit/transfers/tests
index ab25ee5d..45cc6688 100644
--- a/test/tests/unit/transfers/tests
+++ b/test/tests/unit/transfers/tests
@@ -32,6 +32,13 @@
     requirement = 'Apollo shall have the ability to transfer from MFEM to MOOSE using second-order hex27 elements.'
     max_parallel = 1
   []
+  [./TwoWayTet10Transfer]
+    type = 'CSVDiff'
+    input = 'two_way_tet10_transfer_master.i'
+    csvdiff = 'two_way_tet10_transfer_master_out.csv'
+    requirement = 'Apollo shall have the ability to transfer between MOOSE and MFEM using second-order tet10 elements.'
+    max_parallel = 1
+  []
   [./OneWayTet10Transfer]
     type = 'CSVDiff'
     input = 'one_way_tet10_transfer_master.i'
diff --git a/test/tests/unit/transfers/two_way_tet10_transfer_master.i b/test/tests/unit/transfers/two_way_tet10_transfer_master.i
new file mode 100644
index 00000000..97fbc646
--- /dev/null
+++ b/test/tests/unit/transfers/two_way_tet10_transfer_master.i
@@ -0,0 +1,118 @@
+[Mesh]
+  type = CoupledMFEMMesh
+  file = gold/mug-tet10.e
+  dim = 3
+[]
+
+[Variables]
+  [./moose_diffused]
+    family = LAGRANGE
+    order = SECOND
+  [../]
+[]
+
+[AuxVariables]
+  [./temperature_moose]
+    family = LAGRANGE
+    order = SECOND
+  [../]
+
+  [./temperature_mfem]
+    family = LAGRANGE
+    order = SECOND
+  [../]
+[]
+
+[Kernels]
+  [diff]
+    type = Diffusion
+    variable = moose_diffused
+  []
+[]
+
+[BCs]
+  [bottom]
+    type = DirichletBC
+    variable = moose_diffused
+    boundary = 'bottom'
+    value = 1
+  []
+
+  [top]
+    type = DirichletBC
+    variable = moose_diffused
+    boundary = 'top'
+    value = 0
+  []
+[]
+
+[Postprocessors]
+  [./l2_difference]
+    type = ElementL2Difference
+    variable = temperature_mfem
+    other_variable = temperature_moose
+  [../]
+[]
+
+[ICs]
+  [./temperature_moose_ic]
+    type = FunctionIC
+    variable = temperature_moose
+    function = 42.0+1000.0*x*x
+  [../]
+
+  [./temperature_mfem_ic]
+    type = ConstantIC
+    variable = temperature_mfem
+    value = 0.0
+  [../]
+[]
+
+[MultiApps]
+  [sub_app]
+    type = TransientMultiApp
+    positions = '0 0 0'
+    input_files = 'two_way_tet10_transfer_mfem.i'
+    execute_on = timestep_begin
+  []
+[]
+
+[Transfers]
+  [push_temperature]
+    type = MultiAppNearestNodeTransfer
+
+    # Transfer to the sub-app from this app.
+    to_multi_app = sub_app
+
+    # The name of the variable in this app to transfer.
+    source_variable = temperature_moose
+
+    # The name of the auxiliary variable in the sub-app.
+    variable = temperature
+  []
+
+  [pull_temperature]
+    type = MultiAppNearestNodeTransfer
+
+    # Transfer from the sub-app to this app.
+    from_multi_app = sub_app
+
+    # The name of the variable in the sub-app.
+    source_variable = temperature
+
+    # The name of the auxiliary variable in this app.
+    variable = temperature_mfem
+  []
+[]
+
+[Executioner]
+  type = Transient
+  dt = 1.0
+  start_time = 0.0
+  end_time = 1.0
+[]
+
+[Outputs]
+  csv = true
+  exodus = true
+[]
diff --git a/test/tests/unit/transfers/two_way_tet10_transfer_mfem.i b/test/tests/unit/transfers/two_way_tet10_transfer_mfem.i
new file mode 100644
index 00000000..d6733dd1
--- /dev/null
+++ b/test/tests/unit/transfers/two_way_tet10_transfer_mfem.i
@@ -0,0 +1,83 @@
+[Mesh]
+  type = CoupledMFEMMesh
+  file = gold/mug-tet10.e
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+  use_glvis = true
+[]
+
+[Formulation]
+  type = CustomFormulation
+[]
+
+[AuxVariables]
+  [./mfem_diffused]
+    family = LAGRANGE
+    order = SECOND
+  [../]
+  [./temperature]
+    family = LAGRANGE
+    order = SECOND
+  [../]
+[]
+
+[Functions]
+  [./value_bottom]
+    type = ParsedFunction
+    value = 1.0
+  [../]
+  [./value_top]
+    type = ParsedFunction
+    value = 0.0
+  [../]
+[]
+
+[BCs]
+  [./bottom]
+    type = MFEMFunctionDirichletBC
+    variable = mfem_diffused
+    boundary = '1'
+    function = value_bottom
+  [../]
+  [./low_terminal]
+    type = MFEMFunctionDirichletBC
+    variable = mfem_diffused
+    boundary = '2'
+    function = value_top
+  [../]
+[]
+
+[Coefficients]
+  [./one]
+    type = MFEMConstantCoefficient
+    value = 1.0
+  [../]
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMDiffusionKernel
+    variable = mfem_diffused
+    coefficient = one
+  []
+[]
+
+[Executioner]
+  type = Transient
+  dt = 1.0
+  start_time = 0.0
+  end_time = 1.0
+
+  l_tol = 1e-16
+  l_max_its = 1000
+[]
+
+[Outputs]
+  [VisItDataCollection]
+    type = MFEMVisItDataCollection
+    file_base = OutputData/Diffusion
+  []
+[]