diff --git a/Lib/test/test_import.py b/Lib/test/test_import.py
index cf17c9615dc..95a5f48fce3 100644
--- a/Lib/test/test_import.py
+++ b/Lib/test/test_import.py
@@ -30,6 +30,9 @@ def remove_files(name):
 
 class ImportTests(unittest.TestCase):
 
+    def setUp(self):
+        remove_files(TESTFN)
+
     def tearDown(self):
         unload(TESTFN)