diff --git a/site/content/en/docs/concepts/multikueue.md b/site/content/en/docs/concepts/multikueue.md
index b91048b6e7..d45a51f3b0 100644
--- a/site/content/en/docs/concepts/multikueue.md
+++ b/site/content/en/docs/concepts/multikueue.md
@@ -59,7 +59,8 @@ There is an ongoing effort to overcome these limitations by adding the possibili
 
 ### JobSet
 
-MultiKueue expects the JobSets, submitted to a ClusterQueue using a MultiKueue admission check, to have `spec.managedBy` set to `kueue.x-k8s.io/multikueue`. The JobSet `managedBy` field is available since JobSet v0.5.0.
+When you want to submit JobSets to a ClusterQueue with a MultiKueue admission check, you should set the `spec.managedBy` field to `kueue.x-k8s.io/multikueue`, otherwise the admission check controller will `Reject` the workload causing it to be marked as `Finished` with an error indicating the cause.
+The `managedBy` field is available in JobSet v0.5.0 and newer.
 
 ## Submitting Jobs
 In a [configured MultiKueue environment](/docs/tasks/manage/setup_multikueue), you can submit any MultiKueue supported job to the Manager cluster, targeting a ClusterQueue configured for Multikueue.
diff --git a/site/content/en/docs/tasks/run/jobsets.md b/site/content/en/docs/tasks/run/jobsets.md
index b04e6b3298..e91e48e22c 100644
--- a/site/content/en/docs/tasks/run/jobsets.md
+++ b/site/content/en/docs/tasks/run/jobsets.md
@@ -34,7 +34,7 @@ metadata:
 
 ### b. MultiKueue
 
-If the JobSet is submitted to a queue using [MultiKueue](/docs/concepts/multikueue) its `spec.managedBy` field needs to be set to `kueue.x-k8s.io/multikueue`.
+If the JobSet is submitted to a queue using [MultiKueue](/docs/concepts/multikueue) its `spec.managedBy` field needs to be set to `kueue.x-k8s.io/multikueue`. Otherwise the its workload will be marked as `Finished` with an error indicating this cause.
 
 ### c. Configure the resource needs