diff --git a/src/gallium/drivers/zink/zink_context.c b/src/gallium/drivers/zink/zink_context.c
index b66ad4e934d..69e8b62844e 100644
--- a/src/gallium/drivers/zink/zink_context.c
+++ b/src/gallium/drivers/zink/zink_context.c
@@ -4835,6 +4835,9 @@ 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)
+      flush_batch(ctx, false);
 }
 
 static void
@@ -4945,6 +4948,8 @@ 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)
+      flush_batch(ctx, false);
 }
 
 static bool