diff --git a/Lib/test/test_imp.py b/Lib/test/test_imp.py
index 83e17d3..88d2a3e 100644
--- a/Lib/test/test_imp.py
+++ b/Lib/test/test_imp.py
@@ -58,6 +58,12 @@
             with imp.find_module('module_' + mod, self.test_path)[0] as fd:
                 self.assertEqual(fd.encoding, encoding)
 
+        path = [os.path.dirname(__file__)]
+        self.assertRaisesRegex(SyntaxError,
+            r"Non-UTF-8 code starting with '\\xf6'"
+            r" in file .*badsyntax_pep3120.py",
+            imp.find_module, 'badsyntax_pep3120', path)
+
     def test_issue1267(self):
         for mod, encoding, _ in self.test_strings:
             fp, filename, info  = imp.find_module('module_' + mod,