diff --git a/app/assets/javascripts/pipelines/components/graph/job_group_dropdown.vue b/app/assets/javascripts/pipelines/components/graph/job_group_dropdown.vue
index 482898b80c4..ebd7a17040a 100644
--- a/app/assets/javascripts/pipelines/components/graph/job_group_dropdown.vue
+++ b/app/assets/javascripts/pipelines/components/graph/job_group_dropdown.vue
@@ -69,7 +69,9 @@ export default {
     >
       <ci-icon :status="group.status" />
 
-      <span class="ci-status-text"> {{ group.name }} </span>
+      <span class="ci-status-text text-truncate mw-70p gl-pl-1 d-inline-block align-bottom">
+        {{ group.name }}
+      </span>
 
       <span class="dropdown-counter-badge"> {{ group.size }} </span>
     </button>
diff --git a/changelogs/unreleased/62408-dropdown-truncate.yml b/changelogs/unreleased/62408-dropdown-truncate.yml
new file mode 100644
index 00000000000..7204016efdf
--- /dev/null
+++ b/changelogs/unreleased/62408-dropdown-truncate.yml
@@ -0,0 +1,5 @@
+---
+title: Fix job name in graph dropdown overflowing
+merge_request: 28824
+author:
+type: fixed