diff --git a/test/e2e/functional/stop-terminate.yaml b/test/e2e/functional/stop-terminate.yaml
index db2bf56c5e3b..7d7b2a0015a9 100644
--- a/test/e2e/functional/stop-terminate.yaml
+++ b/test/e2e/functional/stop-terminate.yaml
@@ -11,7 +11,7 @@ spec:
         tasks:
           - name: A
             template: echo
-            onExit: exit
+            onExit: exit-template
 
     - name: echo
       container:
@@ -19,6 +19,14 @@ spec:
         command: [ sleep ]
         args: [ "999" ]
 
+    # This sleep value is only a temporal workaround ensuring template-level hooks finish faster.
+    # See https://github.com/argoproj/argo-workflows/issues/11880
     - name: exit
       container:
         image: argoproj/argosay:v1
+        command: [ sleep ]
+        args: [ "4" ]
+
+    - name: exit-template
+      container:
+        image: argoproj/argosay:v1