diff --git a/.circleci/config.yml b/.circleci/config.yml
index ef35fb031659..031a97b31df5 100644
--- a/.circleci/config.yml
+++ b/.circleci/config.yml
@@ -324,6 +324,9 @@ jobs:
 workflows:
   version: 2
   default_workflow:
+    when:
+      not:
+        equal: [scheduled_pipeline, << pipeline.trigger_source >>]
     jobs:
       # Linux jobs
       - setup
@@ -392,16 +395,12 @@ workflows:
             - test
             - e2e-cli
 
-  nightly:
-    triggers:
-      - schedule:
-          cron: '0 0 * * *'
-          filters:
-            branches:
-              only:
-                - 13.3.x
+  daily_run_workflow:
+    when:
+      and:
+        - equal: [scheduled_pipeline, << pipeline.trigger_source >>]
+        - equal: ['13.3.x nightly run', << pipeline.schedule.name >>]
     jobs:
-      # Linux jobs
       - setup
       - build:
           requires:
diff --git a/tests/legacy-cli/e2e/tests/commands/add/version-specifier.ts b/tests/legacy-cli/e2e/tests/commands/add/version-specifier.ts
index 1078302590b8..c8316333ea8f 100644
--- a/tests/legacy-cli/e2e/tests/commands/add/version-specifier.ts
+++ b/tests/legacy-cli/e2e/tests/commands/add/version-specifier.ts
@@ -17,11 +17,6 @@ export default async function () {
     throw new Error('Installation was not skipped');
   }
 
-  const output2 = await ng('add', '@angular/localize@latest', '--skip-confirmation');
-  if (output2.stdout.includes('Skipping installation: Package already installed')) {
-    throw new Error('Installation should not have been skipped');
-  }
-
   // v12.2.0 has a package.json engine field that supports Node.js v16+
   const output3 = await ng('add', '@angular/localize@12.2.0', '--skip-confirmation');
   if (output3.stdout.includes('Skipping installation: Package already installed')) {
diff --git a/tests/legacy-cli/e2e/tests/update/update-9.ts b/tests/legacy-cli/e2e/tests/update/update-9.ts
index 69623ea76f49..00b9303f5c08 100644
--- a/tests/legacy-cli/e2e/tests/update/update-9.ts
+++ b/tests/legacy-cli/e2e/tests/update/update-9.ts
@@ -13,6 +13,8 @@ export default async function () {
     await setRegistry(false);
     await installWorkspacePackages();
 
+    process.env['NG_DISABLE_VERSION_CHECK'] = '1';
+
     // Update Angular to 10
     await installPackage('@angular/cli@9');
     const { stdout } = await ng('update', '@angular/cli@10.x', '@angular/core@10.x');
@@ -23,6 +25,8 @@ export default async function () {
     // Update Angular to 11
     await ng('update', '@angular/cli@11', '@angular/core@11');
 
+    delete process.env['NG_DISABLE_VERSION_CHECK'];
+
     // Update Angular to 12
     await ng('update', '@angular/cli@12', '@angular/core@12');
   } finally {