diff --git a/Lib/test/test_import.py b/Lib/test/test_import.py
index e4922e3..412e6b8 100644
--- a/Lib/test/test_import.py
+++ b/Lib/test/test_import.py
@@ -1,3 +1,4 @@
+import errno
 import imp
 import marshal
 import os
@@ -290,6 +291,10 @@
                 os.utime(source, (2 ** 33, 2 ** 33))
             except OverflowError:
                 self.skipTest("cannot set modification time to large integer")
+            except OSError as e:
+                if e.errno != getattr(errno, 'EOVERFLOW', None):
+                    raise
+                self.skipTest("cannot set modification time to large integer ({})".format(e))
             __import__(TESTFN)
             # The pyc file was created.
             os.stat(compiled)