diff --git a/Lib/test/test_inspect.py b/Lib/test/test_inspect.py
index 270ebfde2bd..26ec953e034 100644
--- a/Lib/test/test_inspect.py
+++ b/Lib/test/test_inspect.py
@@ -12,7 +12,7 @@ from test import inspect_fodder as mod
 from test import inspect_fodder2 as mod2
 
 # C module for test_findsource_binary
-import time
+import unicodedata
 
 # Functions tested in this suite:
 # ismodule, isclass, ismethod, isfunction, istraceback, isframe, iscode,
@@ -339,9 +339,13 @@ class TestBuggyCases(GetSourceBase):
     def test_method_in_dynamic_class(self):
         self.assertSourceEqual(mod2.method_in_dynamic_class, 95, 97)
 
+    @unittest.skipIf(
+        not hasattr(unicodedata, '__file__') or
+            unicodedata.__file__[-4:] in (".pyc", ".pyo"),
+        "unicodedata is not an external binary module")
     def test_findsource_binary(self):
-        self.assertRaises(IOError, inspect.getsource, time)
-        self.assertRaises(IOError, inspect.findsource, time)
+        self.assertRaises(IOError, inspect.getsource, unicodedata)
+        self.assertRaises(IOError, inspect.findsource, unicodedata)
 
 # Helper for testing classify_class_attrs.
 def attrs_wo_objs(cls):