diff --git a/test/js/node/test/parallel/test-https-close.js b/test/js/node/test/parallel/test-https-close.js
new file mode 100644
index 0000000000..93a8f02f55
--- /dev/null
+++ b/test/js/node/test/parallel/test-https-close.js
@@ -0,0 +1,54 @@
+'use strict';
+const common = require('../common');
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+
+const fixtures = require('../common/fixtures');
+const https = require('https');
+
+const options = {
+  key: fixtures.readKey('agent1-key.pem'),
+  cert: fixtures.readKey('agent1-cert.pem')
+};
+
+const connections = {};
+
+const server = https.createServer(options, (req, res) => {
+  const interval = setInterval(() => {
+    res.write('data');
+  }, 1000);
+  interval.unref();
+});
+
+server.on('connection', (connection) => {
+  const key = `${connection.remoteAddress}:${connection.remotePort}`;
+  connection.on('close', () => {
+    delete connections[key];
+  });
+  connections[key] = connection;
+});
+
+function shutdown() {
+  server.close(common.mustSucceed());
+
+  for (const key in connections) {
+    connections[key].destroy();
+    delete connections[key];
+  }
+}
+
+server.listen(0, () => {
+  const requestOptions = {
+    hostname: '127.0.0.1',
+    port: server.address().port,
+    path: '/',
+    method: 'GET',
+    rejectUnauthorized: false
+  };
+
+  const req = https.request(requestOptions, (res) => {
+    res.on('data', () => {});
+    setImmediate(shutdown);
+  });
+  req.end();
+});
\ No newline at end of file