diff --git a/Lib/test/test_time.py b/Lib/test/test_time.py
index 4459f3e02b1..17d4806ecbf 100644
--- a/Lib/test/test_time.py
+++ b/Lib/test/test_time.py
@@ -53,6 +53,9 @@ def test_asctime(self):
         self.assertRaises(TypeError, time.asctime, 0)
 
     def test_tzset(self):
+        if not hasattr(time, "tzset"):
+            return # Can't test this; don't want the test suite to fail
+
         from os import environ
 
         # Epoch time of midnight Dec 25th 2002. Never DST in northern