diff --git a/dlls/kernel32/tests/heap.c b/dlls/kernel32/tests/heap.c
index e35d8bf..6613a5b 100644
--- a/dlls/kernel32/tests/heap.c
+++ b/dlls/kernel32/tests/heap.c
@@ -185,9 +185,12 @@ START_TEST(heap)
     /* invalid free */
     SetLastError(MAGIC_DEAD);
     mem = GlobalFree(gbl);
-    ok(mem == gbl, "Expected gbl, got %p\n", mem);
+    ok(mem == gbl ||
+       broken(mem == NULL), /* NT4 */
+       "Expected gbl, got %p\n", mem);
     ok(GetLastError() == ERROR_INVALID_HANDLE ||
-       GetLastError() == ERROR_INVALID_PARAMETER, /* win9x */
+       GetLastError() == ERROR_INVALID_PARAMETER || /* win9x */
+       broken(GetLastError() == MAGIC_DEAD), /* NT4 */
        "Expected ERROR_INVALID_HANDLE or ERROR_INVALID_PARAMETER, got %d\n", GetLastError());
 
     gbl = GlobalAlloc(GMEM_DDESHARE, 100);
-- 
1.5.4.3