diff --git a/test/parallel/test-worker-cleanup-handles.js b/test/parallel/test-worker-cleanup-handles.js
new file mode 100644
index 0000000000..6d3b257bb0
--- /dev/null
+++ b/test/parallel/test-worker-cleanup-handles.js
@@ -0,0 +1,24 @@
+'use strict';
+const common = require('../common');
+const assert = require('assert');
+const { Worker } = require('worker');
+const { Server } = require('net');
+const fs = require('fs');
+
+if (process.isMainThread) {
+  const w = new Worker(__filename);
+  let fd = null;
+  w.on('message', common.mustCall((fd_) => {
+    assert.strictEqual(typeof fd_, 'number');
+    fd = fd_;
+  }));
+  w.on('exit', common.mustCall((code) => {
+    assert.throws(() => fs.fstatSync(fd),
+                  common.expectsError({ code: 'EBADF' }));
+  }));
+} else {
+  const server = new Server();
+  server.listen(0);
+  process.postMessage(server._handle.fd);
+  server.unref();
+}
diff --git a/test/parallel/test-worker-uncaught-exception-async.js b/test/parallel/test-worker-uncaught-exception-async.js
new file mode 100644
index 0000000000..6a7bed062e
--- /dev/null
+++ b/test/parallel/test-worker-uncaught-exception-async.js
@@ -0,0 +1,17 @@
+'use strict';
+const common = require('../common');
+const assert = require('assert');
+const { Worker } = require('worker');
+
+if (process.isMainThread) {
+  const w = new Worker(__filename);
+  w.on('message', common.mustNotCall());
+  w.on('error', common.mustCall((err) => {
+    // TODO(addaleax): be more specific here
+    assert(/foo/.test(err));
+  }));
+} else {
+  setImmediate(() => {
+    throw new Error('foo');
+  });
+}
diff --git a/test/parallel/test-worker-uncaught-exception.js b/test/parallel/test-worker-uncaught-exception.js
new file mode 100644
index 0000000000..f34e5b4647
--- /dev/null
+++ b/test/parallel/test-worker-uncaught-exception.js
@@ -0,0 +1,15 @@
+'use strict';
+const common = require('../common');
+const assert = require('assert');
+const { Worker } = require('worker');
+
+if (process.isMainThread) {
+  const w = new Worker(__filename);
+  w.on('message', common.mustNotCall());
+  w.on('error', common.mustCall((err) => {
+    // TODO(addaleax): be more specific here
+    assert(/foo/.test(err));
+  }));
+} else {
+  throw new Error('foo');
+}
diff --git a/test/parallel/test-worker.js b/test/parallel/test-worker.js
new file mode 100644
index 0000000000..78d1c38739
--- /dev/null
+++ b/test/parallel/test-worker.js
@@ -0,0 +1,17 @@
+'use strict';
+const common = require('../common');
+const assert = require('assert');
+const { Worker } = require('worker');
+
+if (process.isMainThread) {
+  const w = new Worker(__filename);
+  w.on('message', common.mustCall((message) => {
+    assert.strictEqual(message, 'Hello, world!');
+  }));
+} else {
+  setImmediate(() => {
+    process.nextTick(() => {
+      process.postMessage('Hello, world!');
+    });
+  });
+}