diff --git a/packages/ses/test/test-frozen-primordials.js b/packages/ses/test/test-frozen-primordials.js
index 16c31cea99..7307a03454 100644
--- a/packages/ses/test/test-frozen-primordials.js
+++ b/packages/ses/test/test-frozen-primordials.js
@@ -2,9 +2,11 @@ import test from 'ava';
 import '../index.js';
 import { getOwnPropertyDescriptor } from '../src/commons.js';
 
-test('check if override-protected primordials are frozen', t => {
+test.before(() => {
   lockdown();
+});
 
+test('check if override-protected primordials are frozen', t => {
   // After removing the detachedProperties mechanism and without
   // the originalValue mechanism, this test failed.
   t.truthy(Object.isFrozen(Object.prototype.toString));
@@ -12,3 +14,10 @@ test('check if override-protected primordials are frozen', t => {
   const desc = getOwnPropertyDescriptor(Object.prototype, 'toString');
   t.is(desc.get.originalValue, Object.prototype.toString);
 });
+
+test('check if arguments prototype is frozen', t => {
+  (function gimmeArguments() {
+    // eslint-disable-next-line no-proto
+    t.truthy(Object.isFrozen(arguments.__proto__));
+  })();
+});