Added Utility Function for WebIDE URL

app/assets/javascripts/lib/utils/url_utility.js

+import project from '../../ide/stores/mutations/project';
+
 // Returns an array containing the value(s) of the
 // of the key passed as an argument
 export function getParameterValues(sParam) {
@@ -51,7 +53,7 @@ export function removeParams(params) {
   const url = document.createElement('a');
   url.href = window.location.href;
 
-  params.forEach((param) => {
+  params.forEach(param => {
     url.search = removeParamQueryString(url.search, param);
   });
 
@@ -83,3 +85,11 @@ export function refreshCurrentPage() {
 export function redirectTo(url) {
   return window.location.assign(url);
 }
+
+export function webIDEUrl(projectUrl = undefined) {
+  let returnUrl = `${gon.relative_url_root}/-/ide/`;
+  if (projectUrl) {
+    returnUrl += `project${projectUrl}`;
+  }
+  return returnUrl;
+}

app/assets/javascripts/vue_merge_request_widget/components/mr_widget_header.vue

 <script>
 import tooltip from '~/vue_shared/directives/tooltip';
 import { n__ } from '~/locale';
+import { webIDEUrl } from '~/lib/utils/url_utility';
 import icon from '~/vue_shared/components/icon.vue';
 import clipboardButton from '~/vue_shared/components/clipboard_button.vue';
 
@@ -42,7 +43,7 @@ export default {
       return this.isBranchTitleLong(this.mr.targetBranch);
     },
     webIdePath() {
-      return `${gon.relative_url_root}/-/ide/project${this.mr.statusPath.replace('.json', '')}`;
+      return webIDEUrl(this.mr.statusPath.replace('.json', ''));
     },
   },
   methods: {