diff --git a/dlls/kernel32/tests/virtual.c b/dlls/kernel32/tests/virtual.c
index 3e0936241f0..d90d846e4a6 100644
--- a/dlls/kernel32/tests/virtual.c
+++ b/dlls/kernel32/tests/virtual.c
@@ -720,7 +720,8 @@ static void test_CreateFileMapping(void)
     SetLastError(0xdeadbeef);
     handle2 = OpenFileMappingA( FILE_MAP_ALL_ACCESS, FALSE, "WINE TEST MAPPING");
     ok( !handle2, "OpenFileMapping succeeded\n");
-    ok( GetLastError() == ERROR_FILE_NOT_FOUND, "wrong error %u\n", GetLastError());
+    ok( GetLastError() == ERROR_FILE_NOT_FOUND || GetLastError() == ERROR_INVALID_NAME /* win9x */,
+        "wrong error %u\n", GetLastError());
 
     CloseHandle( handle );
 }