diff --git a/Lib/test/test_file.py b/Lib/test/test_file.py
index ebaa38b..c48b8d0 100644
--- a/Lib/test/test_file.py
+++ b/Lib/test/test_file.py
@@ -303,6 +303,8 @@
             if lines != testlines:
                 self.fail("readlines() after next() with empty buffer "
                           "failed. Got %r, expected %r" % (line, testline))
+            f.close()
+
             # Reading after iteration hit EOF shouldn't hurt either
             f = self.open(TESTFN, 'rb')
             try: