diff --git a/Lib/test/test_ntpath.py b/Lib/test/test_ntpath.py
index 0fd81b6..86e3eda 100644
--- a/Lib/test/test_ntpath.py
+++ b/Lib/test/test_ntpath.py
@@ -174,6 +174,9 @@
         tester("ntpath.normpath('C:////a/b')", r'C:\a\b')
         tester("ntpath.normpath('//machine/share//a/b')", r'\\machine\share\a\b')
 
+        tester("ntpath.normpath('\\\\.\\NUL')", r'\\.\NUL')
+        tester("ntpath.normpath('\\\\?\\D:/XY\\Z')", r'\\?\D:/XY\Z')
+
     def test_expandvars(self):
         with support.EnvironmentVarGuard() as env:
             env.clear()