diff --git a/Lib/shutil.py b/Lib/shutil.py
index f8f0b7d..e12f791 100644
--- a/Lib/shutil.py
+++ b/Lib/shutil.py
@@ -259,7 +259,8 @@
 def _basename(path):
     # A basename() variant which first strips the trailing slash, if present.
     # Thus we always get the last component of the path, even for directories.
-    return os.path.basename(path.rstrip(os.path.sep))
+    sep = os.path.sep + (os.path.altsep or '')
+    return os.path.basename(path.rstrip(sep))
 
 def move(src, dst):
     """Recursively move a file or directory to another location. This is
diff --git a/Lib/test/test_shutil.py b/Lib/test/test_shutil.py
index 8160f41..0e81145 100644
--- a/Lib/test/test_shutil.py
+++ b/Lib/test/test_shutil.py
@@ -698,6 +698,15 @@
         self._check_move_dir(self.src_dir, self.dir_other_fs,
             os.path.join(self.dir_other_fs, os.path.basename(self.src_dir)))
 
+    def test_move_dir_sep_to_dir(self):
+        self._check_move_dir(self.src_dir + os.path.sep, self.dst_dir,
+            os.path.join(self.dst_dir, os.path.basename(self.src_dir)))
+
+    @unittest.skipUnless(os.path.altsep, 'requires os.path.altsep')
+    def test_move_dir_altsep_to_dir(self):
+        self._check_move_dir(self.src_dir + os.path.altsep, self.dst_dir,
+            os.path.join(self.dst_dir, os.path.basename(self.src_dir)))
+
     def test_existing_file_inside_dest_dir(self):
         # A file with the same name inside the destination dir already exists.
         with open(self.dst_file, "wb"):