diff --git a/lib/_http_server.js b/lib/_http_server.js
index c6a070115569ad..f28ca3a53804ab 100644
--- a/lib/_http_server.js
+++ b/lib/_http_server.js
@@ -507,6 +507,11 @@ function setupConnectionsTracking(server) {
     setInterval(checkConnections.bind(server), server.connectionsCheckingInterval).unref();
 }
 
+function httpServerPreClose(server) {
+  server.closeIdleConnections();
+  clearInterval(server[kConnectionsCheckingInterval]);
+}
+
 function Server(options, requestListener) {
   if (!(this instanceof Server)) return new Server(options, requestListener);
 
@@ -548,8 +553,7 @@ ObjectSetPrototypeOf(Server.prototype, net.Server.prototype);
 ObjectSetPrototypeOf(Server, net.Server);
 
 Server.prototype.close = function() {
-  this.closeIdleConnections();
-  clearInterval(this[kConnectionsCheckingInterval]);
+  httpServerPreClose(this);
   ReflectApply(net.Server.prototype.close, this, arguments);
 };
 
@@ -1193,4 +1197,5 @@ module.exports = {
   storeHTTPOptions,
   _connectionListener: connectionListener,
   kServerResponse,
+  httpServerPreClose,
 };
diff --git a/lib/https.js b/lib/https.js
index ad67a2f7244bd6..ca695555640a32 100644
--- a/lib/https.js
+++ b/lib/https.js
@@ -31,6 +31,7 @@ const {
   JSONStringify,
   ObjectAssign,
   ObjectSetPrototypeOf,
+  ReflectApply,
   ReflectConstruct,
 } = primordials;
 
@@ -43,6 +44,7 @@ assertCrypto();
 const tls = require('tls');
 const { Agent: HttpAgent } = require('_http_agent');
 const {
+  httpServerPreClose,
   Server: HttpServer,
   setupConnectionsTracking,
   storeHTTPOptions,
@@ -103,6 +105,11 @@ Server.prototype.closeIdleConnections = HttpServer.prototype.closeIdleConnection
 
 Server.prototype.setTimeout = HttpServer.prototype.setTimeout;
 
+Server.prototype.close = function() {
+  httpServerPreClose(this);
+  ReflectApply(tls.Server.prototype.close, this, arguments);
+};
+
 /**
  * Creates a new `https.Server` instance.
  * @param {{