diff --git a/Lib/test/_test_multiprocessing.py b/Lib/test/_test_multiprocessing.py
index 07cf09a..eef262d 100644
--- a/Lib/test/_test_multiprocessing.py
+++ b/Lib/test/_test_multiprocessing.py
@@ -5010,12 +5010,21 @@
                 _resource_unlink(name1, rtype)
                 p.terminate()
                 p.wait()
-                time.sleep(2.0)
-                with self.assertRaises(OSError) as ctx:
-                    _resource_unlink(name2, rtype)
-                # docs say it should be ENOENT, but OSX seems to give EINVAL
-                self.assertIn(
-                    ctx.exception.errno, (errno.ENOENT, errno.EINVAL))
+
+                deadline = time.monotonic() + 60
+                while time.monotonic() < deadline:
+                    time.sleep(.5)
+                    try:
+                        _resource_unlink(name2, rtype)
+                    except OSError as e:
+                        # docs say it should be ENOENT, but OSX seems to give
+                        # EINVAL
+                        self.assertIn(e.errno, (errno.ENOENT, errno.EINVAL))
+                        break
+                else:
+                    raise AssertionError(
+                        f"A {rtype} resource was leaked after a process was "
+                        f"abruptly terminated.")
                 err = p.stderr.read().decode('utf-8')
                 p.stderr.close()
                 expected = ('resource_tracker: There appear to be 2 leaked {} '