diff --git a/integrationtests/self/stream_test.go b/integrationtests/self/stream_test.go
new file mode 100644
index 00000000..b5d2b02c
--- /dev/null
+++ b/integrationtests/self/stream_test.go
@@ -0,0 +1,133 @@
+package self_test
+
+import (
+	"crypto/tls"
+	"fmt"
+	"io"
+	"io/ioutil"
+	"sync"
+	"time"
+
+	"github.com/lucas-clemente/quic-go/integrationtests/tools/testserver"
+
+	quic "github.com/lucas-clemente/quic-go"
+	"github.com/lucas-clemente/quic-go/internal/testdata"
+	. "github.com/onsi/ginkgo"
+	. "github.com/onsi/gomega"
+)
+
+var _ = Describe("Stream tests", func() {
+	var server quic.Listener
+	const numStreams = 300
+
+	BeforeEach(func() {
+		var err error
+		server, err = quic.ListenAddr("localhost:0", testdata.GetTLSConfig(), nil)
+		Expect(err).ToNot(HaveOccurred())
+	})
+
+	AfterEach(func() {
+		server.Close()
+	})
+
+	runSendingPeer := func(sess quic.Session) {
+		var wg sync.WaitGroup
+		wg.Add(numStreams)
+		for i := 0; i < numStreams; i++ {
+			str, err := sess.OpenStream()
+			Expect(err).ToNot(HaveOccurred())
+			data := testserver.GeneratePRData(25 * i)
+			_, err = str.Write(data)
+			Expect(err).ToNot(HaveOccurred())
+			Expect(str.Close()).To(Succeed())
+			go func() {
+				defer GinkgoRecover()
+				defer wg.Done()
+				dataRead, err := ioutil.ReadAll(str)
+				Expect(err).ToNot(HaveOccurred())
+				Expect(dataRead).To(Equal(data))
+			}()
+			time.Sleep(5 * time.Millisecond)
+		}
+		wg.Wait()
+	}
+
+	runReceivingPeer := func(sess quic.Session) {
+		var wg sync.WaitGroup
+		wg.Add(numStreams)
+		for i := 0; i < numStreams; i++ {
+			str, err := sess.AcceptStream()
+			Expect(err).ToNot(HaveOccurred())
+			go func() {
+				defer GinkgoRecover()
+				defer wg.Done()
+				_, err := io.Copy(str, str)
+				Expect(err).ToNot(HaveOccurred())
+				Expect(str.Close()).To(Succeed())
+			}()
+		}
+		wg.Wait()
+	}
+
+	It(fmt.Sprintf("client opening %d streams to a client", numStreams), func() {
+		done := make(chan struct{})
+		go func() {
+			defer GinkgoRecover()
+			sess, err := server.Accept()
+			Expect(err).ToNot(HaveOccurred())
+			runReceivingPeer(sess)
+			close(done)
+		}()
+
+		client, err := quic.DialAddr(server.Addr().String(), &tls.Config{InsecureSkipVerify: true}, nil)
+		Expect(err).ToNot(HaveOccurred())
+		runSendingPeer(client)
+		<-done
+	})
+
+	It(fmt.Sprintf("server opening %d streams to a client", numStreams), func() {
+		done := make(chan struct{})
+		go func() {
+			defer GinkgoRecover()
+			sess, err := server.Accept()
+			Expect(err).ToNot(HaveOccurred())
+			runSendingPeer(sess)
+			close(done)
+		}()
+
+		client, err := quic.DialAddr(server.Addr().String(), &tls.Config{InsecureSkipVerify: true}, nil)
+		Expect(err).ToNot(HaveOccurred())
+		runReceivingPeer(client)
+		<-done
+	})
+
+	It(fmt.Sprintf("client and server opening %d each and sending data to the peer", numStreams), func() {
+		done1 := make(chan struct{})
+		go func() {
+			defer GinkgoRecover()
+			sess, err := server.Accept()
+			Expect(err).ToNot(HaveOccurred())
+			done := make(chan struct{})
+			go func() {
+				defer GinkgoRecover()
+				runReceivingPeer(sess)
+				close(done)
+			}()
+			runSendingPeer(sess)
+			<-done
+			close(done1)
+		}()
+
+		client, err := quic.DialAddr(server.Addr().String(), &tls.Config{InsecureSkipVerify: true}, nil)
+		Expect(err).ToNot(HaveOccurred())
+		done2 := make(chan struct{})
+		go func() {
+			defer GinkgoRecover()
+			runSendingPeer(client)
+			close(done2)
+		}()
+		runReceivingPeer(client)
+		<-done1
+		<-done2
+	})
+})