diff --git a/dlls/netapi32/tests/access.c b/dlls/netapi32/tests/access.c
index dfa68efd883..301cd19d8ab 100644
--- a/dlls/netapi32/tests/access.c
+++ b/dlls/netapi32/tests/access.c
@@ -251,6 +251,11 @@ static void run_userhandling_tests(void)
         ret = pNetUserDel(NULL, sTooLongName);
         ok(ret == NERR_Success, "Deleting the user failed : %d\n", ret);
     }
+    else if (ret == ERROR_ACCESS_DENIED)
+    {
+        skip("not enough permissions to add a user\n");
+        return;
+    }
     else
         ok(ret == NERR_BadUsername ||
            broken(ret == NERR_PasswordTooShort), /* NT4 */
@@ -260,7 +265,8 @@ static void run_userhandling_tests(void)
     usri.usri1_password = sTooLongPassword;
 
     ret = pNetUserAdd(NULL, 1, (LPBYTE)&usri, NULL);
-    ok(ret == NERR_PasswordTooShort, "Adding user with too long password returned 0x%08x\n", ret);
+    ok(ret == NERR_PasswordTooShort || ret == ERROR_ACCESS_DENIED /* Win2003 */,
+       "Adding user with too long password returned 0x%08x\n", ret);
 
     usri.usri1_name = sTooLongName;
     usri.usri1_password = sTooLongPassword;