diff --git a/.pick_status.json b/.pick_status.json
index ab540ea7699..71f782275fb 100644
--- a/.pick_status.json
+++ b/.pick_status.json
@@ -130,7 +130,7 @@
         "description": "zink: block more flushes during unordered blits",
         "nominated": true,
         "nomination_type": 1,
-        "resolution": 0,
+        "resolution": 1,
         "main_sha": null,
         "because_sha": "89aa36359328ea48fa29be8dd439dd87043eaa03"
     },
diff --git a/src/gallium/drivers/zink/zink_context.c b/src/gallium/drivers/zink/zink_context.c
index 04085fab7e6..e26cb658ec5 100644
--- a/src/gallium/drivers/zink/zink_context.c
+++ b/src/gallium/drivers/zink/zink_context.c
@@ -4411,7 +4411,7 @@ zink_copy_image_buffer(struct zink_context *ctx, struct zink_resource *dst, stru
    if (needs_present_readback)
       zink_kopper_present_readback(ctx, img);
 
-   if (ctx->oom_flush && !ctx->batch.in_rp)
+   if (ctx->oom_flush && !ctx->batch.in_rp && !ctx->unordered_blitting)
       flush_batch(ctx, false);
 }
 
@@ -4541,7 +4541,7 @@ zink_resource_copy_region(struct pipe_context *pctx,
       zink_copy_buffer(ctx, dst, src, dstx, src_box->x, src_box->width);
    } else
       zink_copy_image_buffer(ctx, dst, src, dst_level, dstx, dsty, dstz, src_level, src_box, 0);
-   if (ctx->oom_flush && !ctx->batch.in_rp)
+   if (ctx->oom_flush && !ctx->batch.in_rp && !ctx->unordered_blitting)
       flush_batch(ctx, false);
 }