diff --git a/packages/jest-worker/src/workers/__tests__/threadChild.test.ts b/packages/jest-worker/src/workers/__tests__/threadChild.test.ts
index 649317919f6f..b7637963969f 100644
--- a/packages/jest-worker/src/workers/__tests__/threadChild.test.ts
+++ b/packages/jest-worker/src/workers/__tests__/threadChild.test.ts
@@ -365,3 +365,24 @@ it('throws if child is not forked', () => {
     messagePort.emit('message', [CHILD_MESSAGE_CALL, true, 'fooThrows', []]);
   }).toThrow('_worker_threads.parentPort.postMessage is not a function');
 });
+
+it('handle error if `postMessage` throws an error', () => {
+  messagePort.emit('message', [
+    CHILD_MESSAGE_INITIALIZE,
+    true,
+    './my-fancy-worker',
+  ]);
+
+  jest.mocked(messagePort.postMessage).mockImplementationOnce(() => {
+    throw mockError;
+  });
+
+  messagePort.emit('message', [CHILD_MESSAGE_CALL, true, 'fooWorks', []]);
+  expect(jest.mocked(messagePort.postMessage).mock.calls[1][0]).toEqual([
+    PARENT_MESSAGE_CLIENT_ERROR,
+    'TypeError',
+    'Boo',
+    mockError.stack,
+    {},
+  ]);
+});
diff --git a/packages/jest-worker/src/workers/threadChild.ts b/packages/jest-worker/src/workers/threadChild.ts
index 2380e1afd23c..efd31d04ed37 100644
--- a/packages/jest-worker/src/workers/threadChild.ts
+++ b/packages/jest-worker/src/workers/threadChild.ts
@@ -112,7 +112,14 @@ function reportSuccess(result: unknown) {
     throw new Error('Child can only be used on a forked process');
   }
 
-  parentPort!.postMessage([PARENT_MESSAGE_OK, result]);
+  try {
+    parentPort!.postMessage([PARENT_MESSAGE_OK, result]);
+  } catch (err: any) {
+    // Handling it here to avoid unhandled `DataCloneError` rejection
+    // which is hard to distinguish on the parent side
+    // (such error doesn't have any message or stack trace)
+    reportClientError(err);
+  }
 }
 
 function reportClientError(error: Error) {