diff --git a/firedrake/mg/ufl_utils.py b/firedrake/mg/ufl_utils.py
index 5a121eb04f..02649b57b9 100644
--- a/firedrake/mg/ufl_utils.py
+++ b/firedrake/mg/ufl_utils.py
@@ -268,23 +268,21 @@ def coarsen_snescontext(context, self, coefficient_mapping=None):
     coarse._fine = context
     context._coarse = coarse
 
-    solution = context._problem.u
-    solutiondm = solution.function_space().dm
+    solutiondm = context._problem.u.function_space().dm
     parentdm = get_parent(solutiondm)
-    if parentdm != solutiondm:
-        # Now that we have the coarse snescontext, push it to the coarsened DMs
-        # Otherwise they won't have the right transfer manager when they are
-        # coarsened in turn
-        for val in chain(coefficient_mapping.values(), (bc.function_arg for bc in problem.bcs)):
-            if isinstance(val, (firedrake.Function, firedrake.Cofunction)):
-                V = val.function_space()
-                coarseneddm = V.dm
-
-                # Now attach the hook to the parent DM
-                if get_appctx(coarseneddm) is None:
-                    push_appctx(coarseneddm, coarse)
-                    teardown = partial(pop_appctx, coarseneddm, coarse)
-                    add_hook(parentdm, teardown=teardown)
+    # Now that we have the coarse snescontext, push it to the coarsened DMs
+    # Otherwise they won't have the right transfer manager when they are
+    # coarsened in turn
+    for val in chain(coefficient_mapping.values(), (bc.function_arg for bc in problem.bcs)):
+        if isinstance(val, (firedrake.Function, firedrake.Cofunction)):
+            V = val.function_space()
+            coarseneddm = V.dm
+
+            # Now attach the hook to the parent DM
+            if get_appctx(coarseneddm) is None:
+                push_appctx(coarseneddm, coarse)
+                if parentdm.getAttr("__setup_hooks__"):
+                    add_hook(parentdm, teardown=partial(pop_appctx, coarseneddm, coarse))
 
     ises = problem.J.arguments()[0].function_space()._ises
     coarse._nullspace = self(context._nullspace, self, coefficient_mapping=coefficient_mapping)
diff --git a/tests/multigrid/test_transfer_manager.py b/tests/multigrid/test_transfer_manager.py
index d11bceb41f..c4edc39f83 100644
--- a/tests/multigrid/test_transfer_manager.py
+++ b/tests/multigrid/test_transfer_manager.py
@@ -1,5 +1,6 @@
 import pytest
 import numpy
+import warnings
 from firedrake import *
 from firedrake.mg.ufl_utils import coarsen
 from firedrake.utils import complex_mode
@@ -131,3 +132,25 @@ def test_transfer_manager_dat_version_cache(action, transfer_op, spaces):
 
     else:
         raise ValueError(f"Unrecognized action {action}")
+
+
+@pytest.mark.parametrize("family", ("DG", "R"))
+def test_cached_transfer(family):
+    # Test that we can properly reuse transfers within solve
+    sp = {"mat_type": "matfree",
+          "pc_type": "mg",
+          "mg_coarse_pc_type": "none",
+          "mg_levels_pc_type": "none"}
+
+    base = UnitSquareMesh(1, 1)
+    hierarchy = MeshHierarchy(base, 3)
+    mesh = hierarchy[-1]
+
+    V = FunctionSpace(mesh, family, 0)
+    u = Function(V)
+    F = inner(u - 1, TestFunction(V)) * dx
+
+    # This test will fail if we raise this warning
+    with warnings.catch_warnings():
+        warnings.filterwarnings("error", "Creating new TransferManager", RuntimeWarning)
+        solve(F == 0, u, solver_parameters=sp)