diff --git a/tests/colocated_python_test.py b/tests/colocated_python_test.py
index a1486a7d8..8e1d676a7 100644
--- a/tests/colocated_python_test.py
+++ b/tests/colocated_python_test.py
@@ -12,6 +12,7 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
+import tempfile
 import threading
 import time
 from typing import Sequence
@@ -56,7 +57,8 @@ def _colocated_cpu_devices(
 
 
 _count_colocated_python_specialization_cache_miss = jtu.count_events(
-  "colocated_python_func._get_specialized_func")
+    "colocated_python_func._get_specialized_func"
+)
 
 
 class ColocatedPythonTest(jtu.JaxTestCase):
@@ -335,6 +337,47 @@ class ColocatedPythonTest(jtu.JaxTestCase):
     out = jax.device_get(out)
     np.testing.assert_equal(out, np.array([2 + 4, 0 + 8]))
 
+  def testModuleVariableAccess(self):
+    try:
+      # The following pattern of storing and accessing non-serialized state in
+      # the Python module is discouraged for storing user-defined state.
+      # However, it should still work because many caching mechanisms rely on
+      # this behavior.
+
+      # Poison the test's own `colocated_python` module with a non-serializable
+      # object (file) to detect any invalid attempt to serialize the module as
+      # part of a colocated Python function.
+      colocated_python._testing_non_serializable_object = (
+          tempfile.TemporaryFile()
+      )
+
+      @colocated_python.colocated_python
+      def set_global_state(x: jax.Array) -> jax.Array:
+        colocated_python._testing_global_state = x
+        return x + 1
+
+      @colocated_python.colocated_python
+      def get_global_state(x: jax.Array) -> jax.Array:
+        del x
+        return colocated_python._testing_global_state
+
+      cpu_devices = _colocated_cpu_devices(jax.local_devices())
+      x = np.array(1)
+      x = jax.device_put(x, cpu_devices[0])
+      y = np.array(2)
+      y = jax.device_put(y, cpu_devices[0])
+
+      jax.block_until_ready(set_global_state(x))
+      out = jax.device_get(get_global_state(y))
+
+      np.testing.assert_equal(out, np.array(1))
+    finally:
+      if "_testing_non_serializable_object" in colocated_python.__dict__:
+        colocated_python._testing_non_serializable_object.close()
+        del colocated_python._testing_non_serializable_object
+      if "_testing_global_state" in colocated_python.__dict__:
+        del colocated_python._testing_global_state
+
 
 if __name__ == "__main__":
   absltest.main(testLoader=jtu.JaxTestLoader())