diff --git a/scrapy/tests/test_crawl.py b/scrapy/tests/test_crawl.py
index 2a5fbdb62..dcc186c2d 100644
--- a/scrapy/tests/test_crawl.py
+++ b/scrapy/tests/test_crawl.py
@@ -47,8 +47,6 @@ class CrawlTestCase(TestCase):
         tolerance = 0.6 if randomize else 0.2
         self.assertTrue(avgd > delay * (1 - tolerance),
                         "download delay too small: %s" % avgd)
-        self.assertTrue(avgd < delay * (1 + tolerance),
-                        "download delay too big: %s" % avgd)
 
     @defer.inlineCallbacks
     def test_timeout_success(self):