diff --git a/packages/browser-integration-tests/suites/public-api/wrap/init.js b/packages/browser-integration-tests/suites/public-api/wrap/init.js
new file mode 100644
index 000000000000..d8c94f36fdd0
--- /dev/null
+++ b/packages/browser-integration-tests/suites/public-api/wrap/init.js
@@ -0,0 +1,7 @@
+import * as Sentry from '@sentry/browser';
+
+window.Sentry = Sentry;
+
+Sentry.init({
+  dsn: 'https://public@dsn.ingest.sentry.io/1337',
+});
diff --git a/packages/browser-integration-tests/suites/public-api/wrap/subject.js b/packages/browser-integration-tests/suites/public-api/wrap/subject.js
new file mode 100644
index 000000000000..e7c0f6db282e
--- /dev/null
+++ b/packages/browser-integration-tests/suites/public-api/wrap/subject.js
@@ -0,0 +1,3 @@
+Sentry.wrap(() => {
+  throw new Error('test');
+});
diff --git a/packages/browser-integration-tests/suites/public-api/wrap/test.ts b/packages/browser-integration-tests/suites/public-api/wrap/test.ts
new file mode 100644
index 000000000000..2c5735b670a4
--- /dev/null
+++ b/packages/browser-integration-tests/suites/public-api/wrap/test.ts
@@ -0,0 +1,21 @@
+import { expect } from '@playwright/test';
+import type { Event } from '@sentry/types';
+
+import { sentryTest } from '../../../utils/fixtures';
+import { getFirstSentryEnvelopeRequest } from '../../../utils/helpers';
+
+sentryTest('should capture an error within `wrap` and mark it as unhandled', async ({ getLocalTestPath, page }) => {
+  const url = await getLocalTestPath({ testDir: __dirname });
+
+  const eventData = await getFirstSentryEnvelopeRequest<Event>(page, url);
+
+  expect(eventData.exception?.values).toHaveLength(1);
+  expect(eventData.exception?.values?.[0]).toMatchObject({
+    type: 'Error',
+    value: 'test',
+    mechanism: {
+      type: 'instrument',
+      handled: false,
+    },
+  });
+});
diff --git a/packages/browser/src/sdk.ts b/packages/browser/src/sdk.ts
index 45fd26c75745..e3a4ebb58c45 100644
--- a/packages/browser/src/sdk.ts
+++ b/packages/browser/src/sdk.ts
@@ -198,7 +198,12 @@ export function onLoad(callback: () => void): void {
  */
 // eslint-disable-next-line @typescript-eslint/no-explicit-any
 export function wrap(fn: (...args: any) => any): any {
-  return internalWrap(fn)();
+  return internalWrap(fn, {
+    mechanism: {
+      type: 'instrument',
+      handled: false,
+    },
+  })();
 }
 
 function startSessionOnHub(hub: Hub): void {