diff --git a/test/parallel/test-worker-unsupported-things.js b/test/parallel/test-worker-unsupported-things.js
new file mode 100644
index 0000000000..53eae47869
--- /dev/null
+++ b/test/parallel/test-worker-unsupported-things.js
@@ -0,0 +1,60 @@
+'use strict';
+const common = require('../common');
+const assert = require('assert');
+const { Worker, isMainThread, postMessage } = require('worker');
+
+if (isMainThread) {
+  const w = new Worker(__filename);
+  w.on('message', common.mustCall((message) => {
+    assert.strictEqual(message, true);
+  }));
+} else {
+  assert.throws(() => {
+    require('domain');
+  }, common.expectsError({
+    code: 'ERR_WORKER_DOMAIN',
+    type: TypeError
+  }));
+
+  assert.doesNotThrow(() => {
+    process.umask();
+  });
+  assert.throws(() => {
+    process.umask(0);
+  }, TypeError);
+
+  {
+    const before = process.title;
+    // This should throw...
+    process.title += ' in worker';
+    assert.strictEqual(process.title, before);
+  }
+
+  {
+    const before = process.debugPort;
+    // This should throw...
+    process.debugPort++;
+    assert.strictEqual(process.debugPort, before);
+  }
+
+  assert.strictEqual(process.stdin, null);
+  assert.strictEqual(process.stdout, null);
+  assert.strictEqual(process.stderr, null);
+
+  assert.strictEqual('abort' in process, false);
+  assert.strictEqual('chdir' in process, false);
+  assert.strictEqual('setuid' in process, false);
+  assert.strictEqual('seteuid' in process, false);
+  assert.strictEqual('setgid' in process, false);
+  assert.strictEqual('setegid' in process, false);
+  assert.strictEqual('setgroups' in process, false);
+  assert.strictEqual('initgroups' in process, false);
+
+  assert.strictEqual('_startProfilerIdleNotifier' in process, false);
+  assert.strictEqual('_stopProfilerIdleNotifier' in process, false);
+  assert.strictEqual('_debugProcess' in process, false);
+  assert.strictEqual('_debugPause' in process, false);
+  assert.strictEqual('_debugEnd' in process, false);
+
+  postMessage(true);
+}