diff --git a/dlls/kernel32/tests/sync.c b/dlls/kernel32/tests/sync.c
index 8d7191f..842a6e9 100644
--- a/dlls/kernel32/tests/sync.c
+++ b/dlls/kernel32/tests/sync.c
@@ -156,12 +156,16 @@ static void test_mutex(void)
     SetLastError(0xdeadbeef);
     hOpened = OpenMutex(READ_CONTROL, FALSE, "WINETESTMUTEX");
     ok(!hOpened, "OpenMutex 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());
 
     SetLastError(0xdeadbeef);
     hOpened = OpenMutex(READ_CONTROL, FALSE, "winetestmutex");
     ok(!hOpened, "OpenMutex 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());
 
     SetLastError(0xdeadbeef);
     hOpened = CreateMutex(NULL, FALSE, "WineTestMutex");
@@ -334,7 +338,9 @@ static void test_event(void)
     SetLastError(0xdeadbeef);
     handle2 = OpenEventA( EVENT_ALL_ACCESS, FALSE, __FILE__ ": TEST EVENT");
     ok( !handle2, "OpenEvent 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 );
 }
@@ -370,7 +376,9 @@ static void test_semaphore(void)
     SetLastError(0xdeadbeef);
     handle2 = OpenSemaphoreA( SEMAPHORE_ALL_ACCESS, FALSE, __FILE__ ": TEST SEMAPHORE");
     ok( !handle2, "OpenSemaphore 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 );
 }
-- 
1.5.4.3