diff --git a/Modules/_testcapimodule.c b/Modules/_testcapimodule.c
index 08aa9c7..a8ce0dc 100644
--- a/Modules/_testcapimodule.c
+++ b/Modules/_testcapimodule.c
@@ -69,7 +69,7 @@
 static PyObject*
 test_sizeof_c_types(PyObject *self)
 {
-#ifdef __GNUC__
+#if defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ > 5)))
 #pragma GCC diagnostic push
 #pragma GCC diagnostic ignored "-Wtype-limits"
 #endif
@@ -130,7 +130,7 @@
 #undef IS_SIGNED
 #undef CHECK_SIGNESS
 #undef CHECK_SIZEOF
-#ifdef __GNUC__
+#if defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ > 5)))
 #pragma GCC diagnostic pop
 #endif
 }