diff --git a/Lib/test/test_capi.py b/Lib/test/test_capi.py
--- a/Lib/test/test_capi.py
+++ b/Lib/test/test_capi.py
@@ -356,11 +356,13 @@
                         "Couldn't find main thread correctly in the list")
 
     if threading:
-        import time
-        TestThreadState()
-        t = threading.Thread(target=TestThreadState)
-        t.start()
-        t.join()
+        @support.reap_threads
+        def extra_test():
+            TestThreadState()
+            t = threading.Thread(target=TestThreadState)
+            t.start()
+            t.join()
+        extra_test()
 
 
 if __name__ == "__main__":