diff --git a/package.json b/package.json
index 9ddea098285..800cbc88dba 100644
--- a/package.json
+++ b/package.json
@@ -55,7 +55,7 @@
     "debug": "^4.3.2",
     "doctrine": "^3.0.0",
     "escape-string-regexp": "^4.0.0",
-    "eslint-scope": "^7.1.0",
+    "eslint-scope": "^7.1.1",
     "eslint-utils": "^3.0.0",
     "eslint-visitor-keys": "^3.3.0",
     "espree": "^9.3.1",
diff --git a/tests/lib/rules/no-eval.js b/tests/lib/rules/no-eval.js
index 79ba4a1eb11..b084892cf2e 100644
--- a/tests/lib/rules/no-eval.js
+++ b/tests/lib/rules/no-eval.js
@@ -139,6 +139,13 @@ ruleTester.run("no-eval", rule, {
             code: "class A { static {} [this.eval()]; }",
             parserOptions: { ecmaVersion: 2022 },
             errors: [{ messageId: "unexpected" }]
+        },
+
+        // in es3, "use strict" directives do not apply
+        {
+            code: "function foo() { 'use strict'; this.eval(); }",
+            parserOptions: { ecmaVersion: 3 },
+            errors: [{ messageId: "unexpected" }]
         }
     ]
 });
diff --git a/tests/lib/rules/no-invalid-this.js b/tests/lib/rules/no-invalid-this.js
index 90cbdef98ac..6b54d9a965e 100644
--- a/tests/lib/rules/no-invalid-this.js
+++ b/tests/lib/rules/no-invalid-this.js
@@ -865,6 +865,14 @@ const patterns = [
         valid: [NORMAL],
         invalid: [USE_STRICT, IMPLIED_STRICT, MODULES],
         errors: [{ messageId: "unexpectedThis", type: "ThisExpression" }]
+    },
+
+    // in es3, "use strict" directives do not apply
+    {
+        code: "function foo() { 'use strict'; this.eval(); }",
+        parserOptions: { ecmaVersion: 3 },
+        valid: [NORMAL, USE_STRICT, IMPLIED_STRICT],
+        invalid: []
     }
 ];