diff --git a/frontend/src/pages/Admin/AgentBuilder/BlockList/index.jsx b/frontend/src/pages/Admin/AgentBuilder/BlockList/index.jsx
index f3d674aee6..68fbf53b50 100644
--- a/frontend/src/pages/Admin/AgentBuilder/BlockList/index.jsx
+++ b/frontend/src/pages/Admin/AgentBuilder/BlockList/index.jsx
@@ -219,7 +219,7 @@ export default function BlockList({
                   block.type !== BLOCK_TYPES.FINISH &&
                   block.type !== BLOCK_TYPES.FLOW_INFO && (
                     <div className="flex items-center gap-1">
-                      {index > 1 && (
+                      {index > 2 && (
                         <button
                           onClick={(e) => {
                             e.stopPropagation();