diff --git a/Lib/test/test_zipimport.py b/Lib/test/test_zipimport.py
--- a/Lib/test/test_zipimport.py
+++ b/Lib/test/test_zipimport.py
@@ -184,29 +184,38 @@ class UncompressedZipImportTestCase(Impo
                  packdir2 + TESTMOD + pyc_ext: (NOW, test_pyc)}
         self.doTest(pyc_ext, files, TESTPACK, TESTPACK2, TESTMOD)
 
     def testZipImporterMethods(self):
         packdir = TESTPACK + os.sep
         packdir2 = packdir + TESTPACK2 + os.sep
         files = {packdir + "__init__" + pyc_ext: (NOW, test_pyc),
                  packdir2 + "__init__" + pyc_ext: (NOW, test_pyc),
-                 packdir2 + TESTMOD + pyc_ext: (NOW, test_pyc)}
+                 packdir2 + TESTMOD + pyc_ext: (NOW, test_pyc),
+                 "spam" + pyc_ext: (NOW, test_pyc)}
 
         z = ZipFile(TEMP_ZIP, "w")
         try:
             for name, (mtime, data) in files.items():
                 zinfo = ZipInfo(name, time.localtime(mtime))
                 zinfo.compress_type = self.compression
                 z.writestr(zinfo, data)
             z.close()
 
             zi = zipimport.zipimporter(TEMP_ZIP)
             self.assertEqual(zi.archive, TEMP_ZIP)
             self.assertEqual(zi.is_package(TESTPACK), True)
+
+            find_mod = zi.find_module('spam')
+            self.assertIsNotNone(find_mod)
+            self.assertIsInstance(find_mod, zipimport.zipimporter)
+            self.assertFalse(find_mod.is_package('spam'))
+            load_mod = find_mod.load_module('spam')
+            self.assertEqual(find_mod.get_filename('spam'), load_mod.__file__)
+
             mod = zi.load_module(TESTPACK)
             self.assertEqual(zi.get_filename(TESTPACK), mod.__file__)
 
             existing_pack_path = __import__(TESTPACK).__path__[0]
             expected_path_path = os.path.join(TEMP_ZIP, TESTPACK)
             self.assertEqual(existing_pack_path, expected_path_path)
 
             self.assertEqual(zi.is_package(packdir + '__init__'), False)
@@ -255,16 +264,26 @@ class UncompressedZipImportTestCase(Impo
             mod = zi.load_module(TESTPACK2)
             self.assertEqual(zi.get_filename(TESTPACK2), mod.__file__)
 
             self.assertEqual(
                 zi.is_package(TESTPACK2 + os.sep + '__init__'), False)
             self.assertEqual(
                 zi.is_package(TESTPACK2 + os.sep + TESTMOD), False)
 
+            pkg_path = TEMP_ZIP + os.sep + packdir + TESTPACK2
+            zi2 = zipimport.zipimporter(pkg_path)
+            find_mod_dotted = zi2.find_module(TESTMOD)
+            self.assertIsNotNone(find_mod_dotted)
+            self.assertIsInstance(find_mod_dotted, zipimport.zipimporter)
+            self.assertFalse(zi2.is_package(TESTMOD))
+            load_mod = find_mod_dotted.load_module(TESTMOD)
+            self.assertEqual(
+                find_mod_dotted.get_filename(TESTMOD), load_mod.__file__)
+
             mod_path = TESTPACK2 + os.sep + TESTMOD
             mod_name = module_path_to_dotted_name(mod_path)
             __import__(mod_name)
             mod = sys.modules[mod_name]
             self.assertEqual(zi.get_source(TESTPACK2), None)
             self.assertEqual(zi.get_source(mod_path), None)
             self.assertEqual(zi.get_filename(mod_path), mod.__file__)
             # To pass in the module name instead of the path, we must use the