diff --git a/jaxlib/cpu_feature_guard.c b/jaxlib/cpu_feature_guard.c
index 7c8ff2951a79..d18478eb57d5 100644
--- a/jaxlib/cpu_feature_guard.c
+++ b/jaxlib/cpu_feature_guard.c
@@ -172,5 +172,12 @@ static struct PyModuleDef cpu_feature_guard_module = {
 #endif
 
 EXPORT_SYMBOL PyMODINIT_FUNC PyInit_cpu_feature_guard(void) {
-  return PyModule_Create(&cpu_feature_guard_module);
+  PyObject *module = PyModule_Create(&cpu_feature_guard_module);
+  if (module == NULL) {
+    return NULL;
+  }
+#ifdef Py_GIL_DISABLED
+  PyUnstable_Module_SetGIL(module, Py_MOD_GIL_NOT_USED);
+#endif
+  return module;
 }