diff --git a/test/internet/test-http2-issue-39919.js b/test/internet/test-http2-issue-39919.js
new file mode 100644
index 00000000000000..a87286363cf258
--- /dev/null
+++ b/test/internet/test-http2-issue-39919.js
@@ -0,0 +1,42 @@
+'use strict';
+const assert = require('assert');
+const common = require('../common');
+
+if (!common.hasCrypto)
+    common.skip('missing crypto');
+
+const http2 = require('http2');
+
+
+function _verifyOriginSet(session, originString) {
+    session.once('remoteSettings', () => {
+        assert.strictEqual(typeof session.originSet, 'object');
+        assert.strictEqual(session.originSet.length, 1);
+        assert.strictEqual(session.originSet[0], originString);
+        session.close();
+    });
+
+    session.once('error', (error) => {
+        assert.strictEqual(error.code, 'ECONNREFUSED');
+        session.close();
+    });
+}
+
+function withServerName() {
+    const session = http2.connect('https://1.1.1.1', { servername: 'cloudflare-dns.com' });
+    _verifyOriginSet(session, 'https://cloudflare-dns.com');
+}
+
+function withEmptyServerName() {
+    const session = http2.connect('https://1.1.1.1', { servername: '' });
+    _verifyOriginSet(session, 'https://1.1.1.1');
+}
+
+function withoutServerName() {
+    const session = http2.connect('https://1.1.1.1');
+    _verifyOriginSet(session, 'https://1.1.1.1');
+}
+
+withServerName();
+withEmptyServerName();
+withoutServerName();