diff --git a/src/gallium/drivers/zink/zink_resource.c b/src/gallium/drivers/zink/zink_resource.c
index c1774b90f1d..888bee50774 100644
--- a/src/gallium/drivers/zink/zink_resource.c
+++ b/src/gallium/drivers/zink/zink_resource.c
@@ -1487,8 +1487,10 @@ resource_create(struct pipe_screen *pscreen,
       res->swapchain = true;
    }
 
-   if (!res->obj->host_visible)
+   if (!res->obj->host_visible) {
       res->base.b.flags |= PIPE_RESOURCE_FLAG_DONT_MAP_DIRECTLY;
+      res->base.allow_cpu_storage = false;
+   }
    if (res->obj->is_buffer) {
       res->base.buffer_id_unique = util_idalloc_mt_alloc(&screen->buffer_ids);
       _mesa_hash_table_init(&res->bufferview_cache, NULL, NULL, equals_bvci);