diff --git a/pybind11_abseil/status_caster.h b/pybind11_abseil/status_caster.h
index e5baf2d..aeec92b 100644
--- a/pybind11_abseil/status_caster.h
+++ b/pybind11_abseil/status_caster.h
@@ -120,7 +120,8 @@ struct type_caster<absl::Status> : public type_caster_base<absl::Status> {
   }
 };
 
-#if defined(PYBIND11_HAS_RETURN_VALUE_POLICY_PACK)
+#if defined(PYBIND11_HAS_RETURN_VALUE_POLICY_PACK) && \
+    defined(PYBIND11_HAS_TYPE_CASTER_STD_FUNCTION_SPECIALIZATIONS)
 
 // This code requires https://github.com/google/pybind11k
 // IMPORTANT:
diff --git a/pybind11_abseil/tests/BUILD b/pybind11_abseil/tests/BUILD
index 02d32d4..affc5c9 100644
--- a/pybind11_abseil/tests/BUILD
+++ b/pybind11_abseil/tests/BUILD
@@ -54,6 +54,15 @@ py_library(
     deps = [requirement("absl_py")],
 )
 
+py_test(
+    name = "status_testing_no_cpp_eh_test",
+    srcs = ["status_testing_no_cpp_eh_test.py"],
+    data = [":status_testing_no_cpp_eh_pybind.so"],
+    python_version = "PY3",
+    srcs_version = "PY3",
+    deps = [":status_testing_no_cpp_eh_test_lib"],
+)
+
 pybind_extension(
     name = "absl_example",
     srcs = ["absl_example.cc"],
diff --git a/pybind11_abseil/tests/CMakeLists.txt b/pybind11_abseil/tests/CMakeLists.txt
index a423c30..1204321 100644
--- a/pybind11_abseil/tests/CMakeLists.txt
+++ b/pybind11_abseil/tests/CMakeLists.txt
@@ -95,3 +95,5 @@ add_test(
     ${CMAKE_COMMAND} -E env PYTHONPATH=$PYTHONPATH:${CMAKE_BINARY_DIR}
     ${Python_EXECUTABLE} ${CMAKE_CURRENT_SOURCE_DIR}/status_example_test.py
   WORKING_DIRECTORY ${CMAKE_CURRENT_SOURCE_DIR})
+
+# OMITTED (help appreciated): status_testing_no_cpp_eh_test
diff --git a/pybind11_abseil/tests/status_testing_no_cpp_eh_pybind.cc b/pybind11_abseil/tests/status_testing_no_cpp_eh_pybind.cc
index 27be2cf..d6cec35 100644
--- a/pybind11_abseil/tests/status_testing_no_cpp_eh_pybind.cc
+++ b/pybind11_abseil/tests/status_testing_no_cpp_eh_pybind.cc
@@ -16,6 +16,13 @@ namespace status_testing_no_cpp_eh {
 PYBIND11_MODULE(status_testing_no_cpp_eh_pybind, m) {
   pybind11::google::ImportStatusModule();
 
+  m.attr("defined_PYBIND11_HAS_TYPE_CASTER_STD_FUNCTION_SPECIALIZATIONS") =
+#if defined(PYBIND11_HAS_TYPE_CASTER_STD_FUNCTION_SPECIALIZATIONS)
+      true;
+#else
+      false;
+#endif
+
   m.def("CallCallbackWithStatusReturn", &CallCallbackWithStatusReturn);
   m.def("CallCallbackWithStatusOrIntReturn",
         &CallCallbackWithStatusOrIntReturn);
@@ -24,7 +31,7 @@ PYBIND11_MODULE(status_testing_no_cpp_eh_pybind, m) {
         pybind11::return_value_policy::take_ownership);
   m.def("GenerateErrorStatusNotOk", &GenerateErrorStatusNotOk);
 
-  m.attr("PYBIND11_HAS_RETURN_VALUE_POLICY_PACK") =
+  m.attr("defined_PYBIND11_HAS_RETURN_VALUE_POLICY_PACK") =
 #if defined(PYBIND11_HAS_RETURN_VALUE_POLICY_PACK)
       true;
 #else
diff --git a/pybind11_abseil/tests/status_testing_no_cpp_eh_test.py b/pybind11_abseil/tests/status_testing_no_cpp_eh_test.py
index fd78a5c..ed875bf 100644
--- a/pybind11_abseil/tests/status_testing_no_cpp_eh_test.py
+++ b/pybind11_abseil/tests/status_testing_no_cpp_eh_test.py
@@ -3,6 +3,13 @@
 from pybind11_abseil.tests import status_testing_no_cpp_eh_pybind
 from pybind11_abseil.tests import status_testing_no_cpp_eh_test_lib as test_lib
 
+_HAS_FUN_SPEC = (
+    status_testing_no_cpp_eh_pybind.defined_PYBIND11_HAS_TYPE_CASTER_STD_FUNCTION_SPECIALIZATIONS
+)
+_FUN_SPEC_NDEF = (
+    'PYBIND11_HAS_TYPE_CASTER_STD_FUNCTION_SPECIALIZATIONS is not defined.'
+)
+
 
 class _TestModuleMixin:
 
@@ -10,14 +17,17 @@ def getTestModule(self):  # pylint: disable=invalid-name
     return status_testing_no_cpp_eh_pybind
 
 
+@absltest.skipIf(not _HAS_FUN_SPEC, _FUN_SPEC_NDEF)
 class StatusReturnTest(test_lib.StatusReturnTest, _TestModuleMixin):
   pass
 
 
+@absltest.skipIf(not _HAS_FUN_SPEC, _FUN_SPEC_NDEF)
 class StatusOrReturnTest(test_lib.StatusOrReturnTest, _TestModuleMixin):
   pass
 
 
+@absltest.skipIf(not _HAS_FUN_SPEC, _FUN_SPEC_NDEF)
 class StatusOrPyObjectPtrTest(
     test_lib.StatusOrPyObjectPtrTest, _TestModuleMixin
 ):
diff --git a/pybind11_abseil/tests/status_testing_no_cpp_eh_test_lib.py b/pybind11_abseil/tests/status_testing_no_cpp_eh_test_lib.py
index 5f9e7cd..41b8254 100644
--- a/pybind11_abseil/tests/status_testing_no_cpp_eh_test_lib.py
+++ b/pybind11_abseil/tests/status_testing_no_cpp_eh_test_lib.py
@@ -185,7 +185,7 @@ def cb(arg):
 
     if (
         hasattr(self.tm, '__pyclif_codegen_mode__')
-        or self.tm.PYBIND11_HAS_RETURN_VALUE_POLICY_PACK
+        or self.tm.defined_PYBIND11_HAS_RETURN_VALUE_POLICY_PACK
     ):
       res = cc_fn(cb, 'exc')
       self.assertEqual(res, "!obj.ok()@ValueError: Unknown arg: 'exc'")