diff --git a/lib/Server.js b/lib/Server.js
index 9f1992f733..c5402134ee 100644
--- a/lib/Server.js
+++ b/lib/Server.js
@@ -5,6 +5,7 @@ require('./polyfills');
 
 const fs = require('fs');
 const http = require('http');
+const https = require('https');
 const path = require('path');
 const url = require('url');
 const chokidar = require('chokidar');
@@ -484,7 +485,20 @@ function Server(compiler, options, _log) {
       };
     }
 
-    this.listeningApp = spdy.createServer(options.https, app);
+    // `spdy` is effectively unmaintained, and as a consequence of an
+    // implementation that extensively relies on Node’s non-public APIs, broken
+    // on Node 10 and above. In those cases, only https will be used for now.
+    // Once express supports Node's built-in HTTP/2 support, migrating over to
+    // that should be the best way to go.
+    // The relevant issues are:
+    // - https://github.com/nodejs/node/issues/21665
+    // - https://github.com/webpack/webpack-dev-server/issues/1449
+    // - https://github.com/expressjs/express/issues/3388
+    if (+process.version.match(/^v(\d+)/[1]) >= 10) {
+      this.listeningApp = https.createServer(options.https, app);
+    } else {
+      this.listeningApp = spdy.createServer(options.https, app);
+    }
   } else {
     this.listeningApp = http.createServer(app);
   }