diff --git a/website/client/src/components/tasks/task.vue b/website/client/src/components/tasks/task.vue
index d6e78fdd98..45957cf217 100644
--- a/website/client/src/components/tasks/task.vue
+++ b/website/client/src/components/tasks/task.vue
@@ -976,10 +976,18 @@ export default {
     edit (e, task) {
       if (this.isRunningYesterdailies || !this.showEdit) return;
 
-      // Prevent clicking on a link from opening the edit modal
       const target = e.target || e.srcElement;
 
-      if (target.tagName === 'A') return; // clicked on a link
+      /*
+       * Prevent clicking on a link from opening the edit modal
+       *
+       * Ascend up the ancestors of the click target, up until the node defining the click handler.
+       * If any of them is an <a> element, don't open the edit task popup.
+       * Needed in case of a link, with a bold and/or italic link description
+       */
+      for (let element = target; !element.classList.contains('task-clickable-area'); element = element.parentNode) {
+        if (element.tagName === 'A') return; // clicked on a link
+      }
 
       const isDropdown = this.$refs.taskDropdown && this.$refs.taskDropdown.$el.contains(target);
       const isEditAction = this.$refs.editTaskItem && this.$refs.editTaskItem.contains(target);