diff --git a/js_modules/dagster-ui/packages/ui-core/src/instance/backfill/BackfillTerminationDialog.tsx b/js_modules/dagster-ui/packages/ui-core/src/instance/backfill/BackfillTerminationDialog.tsx
index 3a24400060943..8781af40b9559 100644
--- a/js_modules/dagster-ui/packages/ui-core/src/instance/backfill/BackfillTerminationDialog.tsx
+++ b/js_modules/dagster-ui/packages/ui-core/src/instance/backfill/BackfillTerminationDialog.tsx
@@ -99,7 +99,7 @@ export const BackfillTerminationDialog = ({backfill, onClose, onComplete}: Props
           )}
         </DialogFooter>
       </Dialog>
-      {unfinishedMap && (
+      {!backfill.isAssetBackfill && unfinishedMap && (
         <TerminationDialog
           isOpen={
             !!backfill &&