diff --git a/Lib/test/test_queue.py b/Lib/test/test_queue.py
index 9bb5181377..7923108449 100644
--- a/Lib/test/test_queue.py
+++ b/Lib/test/test_queue.py
@@ -426,6 +426,10 @@ def feed(self, q, seq, rnd):
                 val = seq.pop()
             except IndexError:
                 return
+            if len(seq) < 60 and val is not None:
+                # force a delay for some non-sentinel values near the end of
+                # the input sequence
+                time.sleep(rnd.random() * 1e-2)
             q.put(val)
             if rnd.random() > 0.5:
                 time.sleep(rnd.random() * 1e-3)