diff --git a/lib/websocket.js b/lib/websocket.js
index 070b3a0eb..e17d6c1a7 100644
--- a/lib/websocket.js
+++ b/lib/websocket.js
@@ -668,7 +668,11 @@ function netConnect(options) {
  */
 function tlsConnect(options) {
   options.path = undefined;
-  options.servername = options.servername || options.host;
+
+  if (!options.servername && options.servername !== '') {
+    options.servername = options.host;
+  }
+
   return tls.connect(options);
 }
 
diff --git a/test/websocket.test.js b/test/websocket.test.js
index 90ff96124..647550216 100644
--- a/test/websocket.test.js
+++ b/test/websocket.test.js
@@ -6,6 +6,7 @@ const assert = require('assert');
 const crypto = require('crypto');
 const https = require('https');
 const http = require('http');
+const tls = require('tls');
 const fs = require('fs');
 const { URL } = require('url');
 
@@ -2040,6 +2041,18 @@ describe('WebSocket', () => {
         });
       });
     }).timeout(4000);
+
+    it('allows to disable sending the SNI extension', (done) => {
+      const original = tls.connect;
+
+      tls.connect = (options) => {
+        assert.strictEqual(options.servername, '');
+        tls.connect = original;
+        done();
+      };
+
+      const ws = new WebSocket('wss://127.0.0.1', { servername: '' });
+    });
   });
 
   describe('Request headers', () => {