diff --git a/gsk/gpu/gskgpudownloadop.c b/gsk/gpu/gskgpudownloadop.c
index 67bb28b71d..967fc97a98 100644
--- a/gsk/gpu/gskgpudownloadop.c
+++ b/gsk/gpu/gskgpudownloadop.c
@@ -325,6 +325,8 @@ gsk_gpu_download_op_gl_command (GskGpuOp          *op,
 
           if (self->texture)
             return op->next;
+
+          gdk_dmabuf_close_fds (&texture->dmabuf);
         }
 
       g_free (texture);