diff --git a/test/parallel/test-https-close.js b/test/parallel/test-https-close.js
new file mode 100644
index 00000000000000..8a9a4f89960af0
--- /dev/null
+++ b/test/parallel/test-https-close.js
@@ -0,0 +1,56 @@
+'use strict';
+const common = require('../common');
+const fs = require('fs');
+
+if (!common.hasCrypto) {
+  console.log('1..0 # Skipped: missing crypto');
+  return;
+}
+const https = require('https');
+
+const options = {
+  key: fs.readFileSync(common.fixturesDir + '/keys/agent1-key.pem'),
+  cert: fs.readFileSync(common.fixturesDir + '/keys/agent1-cert.pem')
+};
+
+var connections = {};
+
+var server = https.createServer(options, function(req, res) {
+  var interval = setInterval(function() {
+    res.write('data');
+  }, 1000);
+  interval.unref();
+});
+
+server.on('connection', function(connection) {
+  var key = connection.remoteAddress + ':' + connection.remotePort;
+  connection.on('close', function() {
+    delete connections[key];
+  });
+  connections[key] = connection;
+});
+
+function shutdown() {
+  server.close(common.mustCall(function() {}));
+
+  for (var key in connections) {
+    connections[key].destroy();
+    delete connections[key];
+  }
+}
+
+server.listen(common.PORT, function() {
+  var requestOptions = {
+    hostname: '127.0.0.1',
+    port: common.PORT,
+    path: '/',
+    method: 'GET',
+    rejectUnauthorized: false
+  };
+
+  var req = https.request(requestOptions, function(res) {
+    res.on('data', function(d) {});
+    setImmediate(shutdown);
+  });
+  req.end();
+});