diff --git a/dlls/kernel32/tests/heap.c b/dlls/kernel32/tests/heap.c
index 2939862..e35d8bf 100644
--- a/dlls/kernel32/tests/heap.c
+++ b/dlls/kernel32/tests/heap.c
@@ -186,23 +186,29 @@ START_TEST(heap)
     SetLastError(MAGIC_DEAD);
     mem = GlobalFree(gbl);
     ok(mem == gbl, "Expected gbl, got %p\n", mem);
-    ok(GetLastError() == ERROR_INVALID_HANDLE,
-       "Expected ERROR_INVALID_HANDLE, got %d\n", GetLastError());
+    ok(GetLastError() == ERROR_INVALID_HANDLE ||
+       GetLastError() == ERROR_INVALID_PARAMETER, /* win9x */
+       "Expected ERROR_INVALID_HANDLE or ERROR_INVALID_PARAMETER, got %d\n", GetLastError());
 
     gbl = GlobalAlloc(GMEM_DDESHARE, 100);
 
     res = GlobalUnlock(gbl);
-    ok(res == 1, "Expected 1, got %d\n", res);
+    ok(res == 1 ||
+       res == 0, /* win9x */
+       "Expected 1 or 0, got %d\n", res);
 
     res = GlobalUnlock(gbl);
-    ok(res == 1, "Expected 1, got %d\n", res);
+    ok(res == 1 ||
+       res == 0, /* win9x */
+       "Expected 1 or 0, got %d\n", res);
 
     /* GlobalSize on an invalid handle */
     SetLastError(MAGIC_DEAD);
     size = GlobalSize((HGLOBAL)0xc042);
     ok(size == 0, "Expected 0, got %ld\n", size);
-    ok(GetLastError() == ERROR_INVALID_HANDLE,
-       "Expected ERROR_INVALID_HANDLE, got %d\n", GetLastError());
+    ok(GetLastError() == ERROR_INVALID_HANDLE ||
+       GetLastError() == ERROR_INVALID_PARAMETER, /* win9x */
+       "Expected ERROR_INVALID_HANDLE or ERROR_INVALID_PARAMETER, got %d\n", GetLastError());
 
     /* ####################################### */
     /* Local*() functions */
-- 
1.5.4.3