diff --git a/Lib/test/support/__init__.py b/Lib/test/support/__init__.py
index 6c9e31a22c..e27ea07d5d 100644
--- a/Lib/test/support/__init__.py
+++ b/Lib/test/support/__init__.py
@@ -2051,7 +2051,7 @@ def threading_cleanup(*original_values):
         if values == original_values:
             break
 
-        if not count:
+        if count == 1:
             # Display a warning at the first iteration
             environment_altered = True
             dangling_threads = values[1]
@@ -2068,7 +2068,8 @@ def threading_cleanup(*original_values):
             dangling_threads = None
         values = None
 
-        time.sleep(0.01)
+        if count:
+            time.sleep(0.01)
         gc_collect()