diff --git a/tests/test-localename.c b/tests/test-localename.c
index c0952a1..74b7a93 100644
--- a/tests/test-localename.c
+++ b/tests/test-localename.c
@@ -155,7 +155,16 @@ test_locale_name (void)
   if (setlocale (LC_ALL, "") != NULL)
     {
       name = gl_locale_name (LC_CTYPE, "LC_CTYPE");
+#if (defined _WIN32 || defined __WIN32__) && !defined __CYGWIN__
+      /* On native Windows, here,
+           gl_locale_name_thread (LC_CTYPE, "LC_CTYPE")
+         may return either "de_DE" or NULL, whereas
+           gl_locale_name_posix (LC_CTYPE, "LC_CTYPE")
+         returns "de_DE.UTF-8".  */
+      ASSERT (strcmp (name, "de_DE") == 0 || strcmp (name, "de_DE.UTF-8") == 0);
+#else
       ASSERT (strcmp (name, "de_DE.UTF-8") == 0);
+#endif
       name = gl_locale_name (LC_MESSAGES, "LC_MESSAGES");
       ASSERT (strcmp (name, "fr_FR.UTF-8") == 0);
     }
@@ -473,8 +482,11 @@ test_locale_name_thread (void)
         }
   }
 #else
-  /* Check that gl_locale_name_thread always returns NULL.  */
+  /* Check that gl_locale_name_thread always returns NULL,
+     except on native Windows.  */
+# if !((defined _WIN32 || defined __WIN32__) && !defined __CYGWIN__)
   ASSERT (gl_locale_name_thread (LC_CTYPE, "LC_CTYPE") == NULL);
+# endif
   ASSERT (gl_locale_name_thread (LC_MESSAGES, "LC_MESSAGES") == NULL);
 #endif
 }