diff --git a/integrationtests/self/rtt_test.go b/integrationtests/self/rtt_test.go
new file mode 100644
index 000000000..c0b842d30
--- /dev/null
+++ b/integrationtests/self/rtt_test.go
@@ -0,0 +1,83 @@
+package self
+
+import (
+	"fmt"
+	"io/ioutil"
+	"net"
+	"time"
+
+	_ "github.com/lucas-clemente/quic-clients" // download clients
+	quic "github.com/lucas-clemente/quic-go"
+	"github.com/lucas-clemente/quic-go/integrationtests/tools/proxy"
+	"github.com/lucas-clemente/quic-go/integrationtests/tools/testserver"
+	"github.com/lucas-clemente/quic-go/internal/protocol"
+	"github.com/lucas-clemente/quic-go/internal/testdata"
+
+	. "github.com/onsi/ginkgo"
+	. "github.com/onsi/gomega"
+)
+
+var _ = Describe("non-zero RTT", func() {
+	for _, v := range append(protocol.SupportedVersions, protocol.VersionTLS) {
+		version := v
+
+		Context(fmt.Sprintf("with QUIC version %s", version), func() {
+			roundTrips := [...]time.Duration{
+				10 * time.Millisecond,
+				50 * time.Millisecond,
+				100 * time.Millisecond,
+				200 * time.Millisecond,
+			}
+
+			for _, r := range roundTrips {
+				rtt := r
+
+				It(fmt.Sprintf("downloads a message with %s RTT", rtt), func() {
+					ln, err := quic.ListenAddr(
+						"localhost:0",
+						testdata.GetTLSConfig(),
+						&quic.Config{
+							Versions: []protocol.VersionNumber{version},
+						},
+					)
+					Expect(err).ToNot(HaveOccurred())
+					done := make(chan struct{})
+					go func() {
+						defer GinkgoRecover()
+						sess, err := ln.Accept()
+						Expect(err).ToNot(HaveOccurred())
+						str, err := sess.OpenStream()
+						Expect(err).ToNot(HaveOccurred())
+						_, err = str.Write(testserver.PRData)
+						Expect(err).ToNot(HaveOccurred())
+						str.Close()
+						close(done)
+					}()
+					serverPort := ln.Addr().(*net.UDPAddr).Port
+					proxy, err := quicproxy.NewQuicProxy("localhost:0", version, &quicproxy.Opts{
+						RemoteAddr: fmt.Sprintf("localhost:%d", serverPort),
+						DelayPacket: func(d quicproxy.Direction, p uint64) time.Duration {
+							return rtt / 2
+						},
+					})
+					Expect(err).ToNot(HaveOccurred())
+					defer proxy.Close()
+
+					sess, err := quic.DialAddr(
+						fmt.Sprintf("quic.clemente.io:%d", proxy.LocalPort()),
+						nil,
+						&quic.Config{Versions: []protocol.VersionNumber{version}},
+					)
+					Expect(err).ToNot(HaveOccurred())
+					str, err := sess.AcceptStream()
+					Expect(err).ToNot(HaveOccurred())
+					data, err := ioutil.ReadAll(str)
+					Expect(err).ToNot(HaveOccurred())
+					Expect(data).To(Equal(testserver.PRData))
+					sess.Close(nil)
+					Eventually(done).Should(BeClosed())
+				})
+			}
+		})
+	}
+})