diff --git a/Modules/_asynciomodule.c b/Modules/_asynciomodule.c
index f30c3894abc..4ca46c47608 100644
--- a/Modules/_asynciomodule.c
+++ b/Modules/_asynciomodule.c
@@ -34,8 +34,8 @@ static PyObject *asyncio_CancelledError;
 static PyObject *context_kwname;
 static int module_initialized;
 
-static PyObject *cached_running_holder;
-static volatile uint64_t cached_running_holder_tsid;
+static Py_DECL_THREAD PyObject *cached_running_holder;
+static Py_DECL_THREAD uint64_t cached_running_holder_tsid;
 
 /* Counter for autogenerated Task names */
 static uint64_t task_name_counter = 0;