diff --git a/.changeset/slick-wings-sing.md b/.changeset/slick-wings-sing.md
new file mode 100644
index 00000000..67620ed3
--- /dev/null
+++ b/.changeset/slick-wings-sing.md
@@ -0,0 +1,5 @@
+---
+'http-proxy-agent': patch
+---
+
+Set the HTTPS proxy hostname as the default TLS servername.
diff --git a/packages/http-proxy-agent/src/index.ts b/packages/http-proxy-agent/src/index.ts
index 7ffb5a7a..6c9db0a3 100644
--- a/packages/http-proxy-agent/src/index.ts
+++ b/packages/http-proxy-agent/src/index.ts
@@ -17,6 +17,25 @@ export type { OnProxyAuthCallback, ProxyAuthParams, ProxyAuthResponse };
 
 const debug = createDebug('http-proxy-agent');
 
+const setServernameFromNonIpHost = <
+	T extends { host?: string; servername?: string }
+>(
+	options: T
+) => {
+	if (
+		options.servername === undefined &&
+		options.host &&
+		!net.isIP(options.host)
+	) {
+		return {
+			...options,
+			servername: options.host,
+		};
+	}
+	return options;
+};
+
+
 export interface ProxyConnect {
 	socket: net.Socket;
 }
@@ -177,7 +196,7 @@ export class HttpProxyAgent<Uri extends string> extends Agent {
 		let socket: net.Socket;
 		if (this.proxy.protocol === 'https:') {
 			debug('Creating `tls.Socket`: %o', this.connectOpts);
-			socket = tls.connect(this.connectOpts);
+			socket = tls.connect(setServernameFromNonIpHost(this.connectOpts));
 		} else {
 			debug('Creating `net.Socket`: %o', this.connectOpts);
 			socket = net.connect(this.connectOpts);
diff --git a/packages/http-proxy-agent/test/test.ts b/packages/http-proxy-agent/test/test.ts
index c286f165..0c213970 100644
--- a/packages/http-proxy-agent/test/test.ts
+++ b/packages/http-proxy-agent/test/test.ts
@@ -278,5 +278,30 @@ describe('HttpProxyAgent', () => {
 				agent.destroy();
 			}
 		});
+
+		it('should use the HTTPS proxy hostname as SNI by default', async () => {
+			let receivedServername: string | false | undefined;
+
+			httpServer.once('request', (_req, res) => {
+				res.end();
+			});
+
+			sslProxy.once('secureConnection', (socket) => {
+				receivedServername = socket.servername;
+			});
+
+			const hostnameProxyUrl = new URL(sslProxyUrl);
+			hostnameProxyUrl.hostname = 'localhost';
+
+			const agent = new HttpProxyAgent(hostnameProxyUrl, {
+				rejectUnauthorized: false,
+			});
+
+			const res = await req(httpServerUrl, { agent });
+			res.resume();
+			await once(res, 'end');
+
+			expect(receivedServername).toBe('localhost');
+		});
 	});
 });