diff --git a/CHANGELOG.md b/CHANGELOG.md
index a736ef807758..a82285e1d682 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,7 +4,8 @@
 
 ### Fixes
 
-- `[expect]` Make expect extension properties `configurable` ([#11978](https://github.com/facebook/jest/pull/11978))
+- `[expect]` Make `expect` extension properties `configurable` ([#11978](https://github.com/facebook/jest/pull/11978))
+- `[expect]` Fix `.any()` checks on primitive wrapper classes ([#11976](https://github.com/facebook/jest/pull/11976))
 
 ### Chore & Maintenance
 
diff --git a/packages/expect/src/__tests__/asymmetricMatchers.test.ts b/packages/expect/src/__tests__/asymmetricMatchers.test.ts
index ec48bc73a624..9c9e7b996509 100644
--- a/packages/expect/src/__tests__/asymmetricMatchers.test.ts
+++ b/packages/expect/src/__tests__/asymmetricMatchers.test.ts
@@ -40,6 +40,24 @@ test('Any.asymmetricMatch()', () => {
   });
 });
 
+test('Any.asymmetricMatch() on primitive wrapper classes', () => {
+  [
+    // eslint-disable-next-line no-new-wrappers
+    any(String).asymmetricMatch(new String('jest')),
+    // eslint-disable-next-line no-new-wrappers
+    any(Number).asymmetricMatch(new Number(1)),
+    // eslint-disable-next-line no-new-func
+    any(Function).asymmetricMatch(new Function('() => {}')),
+    // eslint-disable-next-line no-new-wrappers
+    any(Boolean).asymmetricMatch(new Boolean(true)),
+    /* global BigInt */
+    any(BigInt).asymmetricMatch(Object(1n)),
+    any(Symbol).asymmetricMatch(Object(Symbol())),
+  ].forEach(test => {
+    jestExpect(test).toBe(true);
+  });
+});
+
 test('Any.toAsymmetricMatcher()', () => {
   jestExpect(any(Number).toAsymmetricMatcher()).toBe('Any<Number>');
 });
diff --git a/packages/expect/src/asymmetricMatchers.ts b/packages/expect/src/asymmetricMatchers.ts
index c8d2dae00625..b52c62951d61 100644
--- a/packages/expect/src/asymmetricMatchers.ts
+++ b/packages/expect/src/asymmetricMatchers.ts
@@ -69,21 +69,21 @@ class Any extends AsymmetricMatcher<any> {
       return typeof other == 'function' || other instanceof Function;
     }
 
-    if (this.sample == Object) {
-      return typeof other == 'object';
-    }
-
     if (this.sample == Boolean) {
-      return typeof other == 'boolean';
+      return typeof other == 'boolean' || other instanceof Boolean;
     }
 
     /* global BigInt */
     if (this.sample == BigInt) {
-      return typeof other == 'bigint';
+      return typeof other == 'bigint' || other instanceof BigInt;
     }
 
     if (this.sample == Symbol) {
-      return typeof other == 'symbol';
+      return typeof other == 'symbol' || other instanceof Symbol;
+    }
+
+    if (this.sample == Object) {
+      return typeof other == 'object';
     }
 
     return other instanceof this.sample;