diff --git a/integrationtests/self/handshake_rtt_test.go b/integrationtests/self/handshake_rtt_test.go
index 60f173ca..1c965299 100644
--- a/integrationtests/self/handshake_rtt_test.go
+++ b/integrationtests/self/handshake_rtt_test.go
@@ -4,6 +4,7 @@ import (
 	"context"
 	"crypto/tls"
 	"fmt"
+	"io"
 	"net"
 	"time"
 
@@ -18,54 +19,33 @@ import (
 var _ = Describe("Handshake RTT tests", func() {
 	var (
 		proxy           *quicproxy.QuicProxy
-		server          quic.Listener
 		serverConfig    *quic.Config
 		serverTLSConfig *tls.Config
-		testStartedAt   time.Time
-		acceptStopped   chan struct{}
 	)
 
-	rtt := 400 * time.Millisecond
+	const rtt = 400 * time.Millisecond
 
 	BeforeEach(func() {
-		acceptStopped = make(chan struct{})
 		serverConfig = getQuicConfig(nil)
 		serverTLSConfig = getTLSConfig()
 	})
 
 	AfterEach(func() {
 		Expect(proxy.Close()).To(Succeed())
-		Expect(server.Close()).To(Succeed())
-		<-acceptStopped
 	})
 
-	runServerAndProxy := func() {
+	runProxy := func(serverAddr net.Addr) {
 		var err error
-		// start the server
-		server, err = quic.ListenAddr("localhost:0", serverTLSConfig, serverConfig)
-		Expect(err).ToNot(HaveOccurred())
 		// start the proxy
 		proxy, err = quicproxy.NewQuicProxy("localhost:0", &quicproxy.Opts{
-			RemoteAddr:  server.Addr().String(),
+			RemoteAddr:  serverAddr.String(),
 			DelayPacket: func(_ quicproxy.Direction, _ []byte) time.Duration { return rtt / 2 },
 		})
 		Expect(err).ToNot(HaveOccurred())
-
-		testStartedAt = time.Now()
-
-		go func() {
-			defer GinkgoRecover()
-			defer close(acceptStopped)
-			for {
-				if _, err := server.Accept(context.Background()); err != nil {
-					return
-				}
-			}
-		}()
 	}
 
-	expectDurationInRTTs := func(num int) {
-		testDuration := time.Since(testStartedAt)
+	expectDurationInRTTs := func(startTime time.Time, num int) {
+		testDuration := time.Since(startTime)
 		rtts := float32(testDuration) / float32(rtt)
 		Expect(rtts).To(SatisfyAll(
 			BeNumerically(">=", num),
@@ -78,15 +58,19 @@ var _ = Describe("Handshake RTT tests", func() {
 			Skip("Test requires at least 2 supported versions.")
 		}
 		serverConfig.Versions = protocol.SupportedVersions[:1]
-		runServerAndProxy()
-		clientConfig := getQuicConfig(&quic.Config{Versions: protocol.SupportedVersions[1:2]})
-		_, err := quic.DialAddr(
+		ln, err := quic.ListenAddr("localhost:0", serverTLSConfig, serverConfig)
+		Expect(err).ToNot(HaveOccurred())
+		defer ln.Close()
+
+		runProxy(ln.Addr())
+		startTime := time.Now()
+		_, err = quic.DialAddr(
 			proxy.LocalAddr().String(),
 			getTLSClientConfig(),
-			clientConfig,
+			getQuicConfig(&quic.Config{Versions: protocol.SupportedVersions[1:2]}),
 		)
 		Expect(err).To(HaveOccurred())
-		expectDurationInRTTs(1)
+		expectDurationInRTTs(startTime, 1)
 	})
 
 	var clientConfig *quic.Config
@@ -102,36 +86,114 @@ var _ = Describe("Handshake RTT tests", func() {
 	// 1 RTT for the TLS handshake
 	It("is forward-secure after 2 RTTs", func() {
 		serverConfig.RequireAddressValidation = func(net.Addr) bool { return true }
-		runServerAndProxy()
-		_, err := quic.DialAddr(
+		ln, err := quic.ListenAddr("localhost:0", serverTLSConfig, serverConfig)
+		Expect(err).ToNot(HaveOccurred())
+		defer ln.Close()
+
+		runProxy(ln.Addr())
+		startTime := time.Now()
+		_, err = quic.DialAddr(
 			fmt.Sprintf("localhost:%d", proxy.LocalAddr().(*net.UDPAddr).Port),
 			getTLSClientConfig(),
 			clientConfig,
 		)
 		Expect(err).ToNot(HaveOccurred())
-		expectDurationInRTTs(2)
+		expectDurationInRTTs(startTime, 2)
 	})
 
 	It("establishes a connection in 1 RTT when the server doesn't require a token", func() {
-		runServerAndProxy()
-		_, err := quic.DialAddr(
+		ln, err := quic.ListenAddr("localhost:0", serverTLSConfig, serverConfig)
+		Expect(err).ToNot(HaveOccurred())
+		defer ln.Close()
+
+		runProxy(ln.Addr())
+		startTime := time.Now()
+		_, err = quic.DialAddr(
 			fmt.Sprintf("localhost:%d", proxy.LocalAddr().(*net.UDPAddr).Port),
 			getTLSClientConfig(),
 			clientConfig,
 		)
 		Expect(err).ToNot(HaveOccurred())
-		expectDurationInRTTs(1)
+		expectDurationInRTTs(startTime, 1)
 	})
 
 	It("establishes a connection in 2 RTTs if a HelloRetryRequest is performed", func() {
 		serverTLSConfig.CurvePreferences = []tls.CurveID{tls.CurveP384}
-		runServerAndProxy()
-		_, err := quic.DialAddr(
+		ln, err := quic.ListenAddr("localhost:0", serverTLSConfig, serverConfig)
+		Expect(err).ToNot(HaveOccurred())
+		defer ln.Close()
+
+		runProxy(ln.Addr())
+		startTime := time.Now()
+		_, err = quic.DialAddr(
 			fmt.Sprintf("localhost:%d", proxy.LocalAddr().(*net.UDPAddr).Port),
 			getTLSClientConfig(),
 			clientConfig,
 		)
 		Expect(err).ToNot(HaveOccurred())
-		expectDurationInRTTs(2)
+		expectDurationInRTTs(startTime, 2)
+	})
+
+	It("receives the first message from the server after 2 RTTs, when the server uses ListenAddr", func() {
+		ln, err := quic.ListenAddr("localhost:0", serverTLSConfig, serverConfig)
+		Expect(err).ToNot(HaveOccurred())
+		go func() {
+			conn, err := ln.Accept(context.Background())
+			Expect(err).ToNot(HaveOccurred())
+			str, err := conn.OpenUniStream()
+			Expect(err).ToNot(HaveOccurred())
+			_, err = str.Write([]byte("foobar"))
+			Expect(err).ToNot(HaveOccurred())
+			Expect(str.Close()).To(Succeed())
+		}()
+		defer ln.Close()
+
+		runProxy(ln.Addr())
+		startTime := time.Now()
+		conn, err := quic.DialAddr(
+			fmt.Sprintf("localhost:%d", proxy.LocalAddr().(*net.UDPAddr).Port),
+			getTLSClientConfig(),
+			clientConfig,
+		)
+		Expect(err).ToNot(HaveOccurred())
+		str, err := conn.AcceptUniStream(context.Background())
+		Expect(err).ToNot(HaveOccurred())
+		data, err := io.ReadAll(str)
+		Expect(err).ToNot(HaveOccurred())
+		Expect(data).To(Equal([]byte("foobar")))
+		expectDurationInRTTs(startTime, 2)
+	})
+
+	It("receives the first message from the server after 1 RTT, when the server uses ListenAddrEarly", func() {
+		ln, err := quic.ListenAddrEarly("localhost:0", serverTLSConfig, serverConfig)
+		Expect(err).ToNot(HaveOccurred())
+		go func() {
+			conn, err := ln.Accept(context.Background())
+			Expect(err).ToNot(HaveOccurred())
+			// Check the ALPN now. This is probably what an application would do.
+			// It makes sure that ConnectionState does not block until the handshake completes.
+			Expect(conn.ConnectionState().TLS.NegotiatedProtocol).To(Equal(alpn))
+			str, err := conn.OpenUniStream()
+			Expect(err).ToNot(HaveOccurred())
+			_, err = str.Write([]byte("foobar"))
+			Expect(err).ToNot(HaveOccurred())
+			Expect(str.Close()).To(Succeed())
+		}()
+		defer ln.Close()
+
+		runProxy(ln.Addr())
+		startTime := time.Now()
+		conn, err := quic.DialAddr(
+			fmt.Sprintf("localhost:%d", proxy.LocalAddr().(*net.UDPAddr).Port),
+			getTLSClientConfig(),
+			clientConfig,
+		)
+		Expect(err).ToNot(HaveOccurred())
+		str, err := conn.AcceptUniStream(context.Background())
+		Expect(err).ToNot(HaveOccurred())
+		data, err := io.ReadAll(str)
+		Expect(err).ToNot(HaveOccurred())
+		Expect(data).To(Equal([]byte("foobar")))
+		expectDurationInRTTs(startTime, 1)
 	})
 })