diff --git a/integrationtests/self/multiplex_test.go b/integrationtests/self/multiplex_test.go
index 91048400..2320706e 100644
--- a/integrationtests/self/multiplex_test.go
+++ b/integrationtests/self/multiplex_test.go
@@ -8,7 +8,6 @@ import (
 	"io"
 	"net"
 	"runtime"
-	"sync/atomic"
 	"testing"
 	"time"
 
@@ -187,24 +186,25 @@ func TestMultiplexingServerAndClientOnSameConn(t *testing.T) {
 }
 
 func TestMultiplexingNonQUICPackets(t *testing.T) {
+	const numPackets = 100
+
 	tr1 := &quic.Transport{Conn: newUPDConnLocalhost(t)}
 	defer tr1.Close()
 	addTracer(tr1)
+	server, err := tr1.Listen(getTLSConfig(), getQuicConfig(nil))
+	require.NoError(t, err)
+	defer server.Close()
 
 	tr2 := &quic.Transport{Conn: newUPDConnLocalhost(t)}
 	defer tr2.Close()
 	addTracer(tr2)
 
-	server, err := tr1.Listen(getTLSConfig(), getQuicConfig(nil))
-	require.NoError(t, err)
-	defer server.Close()
-
 	type nonQUICPacket struct {
 		b    []byte
 		addr net.Addr
 		err  error
 	}
-	rcvdPackets := make(chan nonQUICPacket, 1024)
+	rcvdPackets := make(chan nonQUICPacket, numPackets)
 	receiveCtx, receiveCancel := context.WithCancel(context.Background())
 	defer receiveCancel()
 	// start receiving non-QUIC packets
@@ -219,42 +219,6 @@ func TestMultiplexingNonQUICPackets(t *testing.T) {
 		}
 	}()
 
-	// send a non-QUIC packet every 100µs
-	const packetLen = 128
-	var sentPackets atomic.Int64
-	errChan := make(chan error, 1)
-	done := make(chan struct{})
-	stopSending := make(chan struct{})
-	go func() {
-		defer close(done)
-		ticker := time.NewTicker(time.Millisecond / 10)
-		defer ticker.Stop()
-
-		var wroteFirstPacket bool
-		for {
-			select {
-			case <-ticker.C:
-				b := make([]byte, packetLen)
-				rand.Read(b[1:]) // keep the first byte set to 0, so it's not classified as a QUIC packet
-				_, err := tr1.WriteTo(b, tr2.Conn.LocalAddr())
-				// The first sendmsg call on a new UDP socket sometimes errors on Linux.
-				// It's not clear why this happens.
-				// See https://github.com/golang/go/issues/63322.
-				if err != nil && !wroteFirstPacket && runtime.GOOS == "linux" && isPermissionError(err) {
-					_, err = tr1.WriteTo(b, tr2.Conn.LocalAddr())
-				}
-				if err != nil {
-					errChan <- err
-					return
-				}
-				sentPackets.Add(1)
-				wroteFirstPacket = true
-			case <-stopSending:
-				return
-			}
-		}
-	}()
-
 	ctx2, cancel2 := context.WithTimeout(context.Background(), time.Second)
 	defer cancel2()
 	conn, err := tr2.Dial(ctx2, server.Addr(), getTLSClientConfig(), getQuicConfig(nil))
@@ -265,33 +229,101 @@ func TestMultiplexingNonQUICPackets(t *testing.T) {
 	require.NoError(t, err)
 	serverStr, err := serverConn.OpenUniStream()
 	require.NoError(t, err)
+
+	// send a non-QUIC packet every 100µs
+	const packetLen = 128
+	errChanNonQUIC := make(chan error, 1)
+	sendNonQUICPacket := make(chan struct{}, 1)
 	go func() {
-		defer serverStr.Close()
-		_, _ = serverStr.Write(PRData)
+		defer close(errChanNonQUIC)
+		var sentPackets int
+		for range sendNonQUICPacket {
+			b := make([]byte, packetLen)
+			rand.Read(b[1:]) // keep the first byte set to 0, so it's not classified as a QUIC packet
+			_, err := tr1.WriteTo(b, tr2.Conn.LocalAddr())
+			// The first sendmsg call on a new UDP socket sometimes errors on Linux.
+			// It's not clear why this happens.
+			// See https://github.com/golang/go/issues/63322.
+			if err != nil && sentPackets == 0 && runtime.GOOS == "linux" && isPermissionError(err) {
+				_, err = tr1.WriteTo(b, tr2.Conn.LocalAddr())
+			}
+			if err != nil {
+				errChanNonQUIC <- err
+				return
+			}
+			sentPackets++
+		}
 	}()
 
-	str, err := conn.AcceptUniStream(ctx2)
-	require.NoError(t, err)
-	data, err := io.ReadAll(str)
-	require.NoError(t, err)
-	require.Equal(t, PRData, data)
+	sendQUICPacket := make(chan struct{}, 1)
+	errChanQUIC := make(chan error, 1)
+	var dataSent []byte
+	go func() {
+		defer close(errChanQUIC)
+		defer serverStr.Close()
+		for range sendQUICPacket {
+			b := make([]byte, 1024)
+			rand.Read(b)
+			if _, err := serverStr.Write(b); err != nil {
+				errChanQUIC <- err
+				return
+			}
+			dataSent = append(dataSent, b...)
+		}
+	}()
 
-	// stop sending non-QUIC packets
-	close(stopSending)
+	dataChan := make(chan []byte, 1)
+	readErr := make(chan error, 1)
+	go func() {
+		str, err := conn.AcceptUniStream(ctx2)
+		if err != nil {
+			readErr <- err
+			return
+		}
+		data, err := io.ReadAll(str)
+		if err != nil {
+			readErr <- err
+			return
+		}
+		dataChan <- data
+	}()
+
+	ticker := time.NewTicker(scaleDuration(200 * time.Microsecond))
+	defer ticker.Stop()
+	for range numPackets {
+		sendNonQUICPacket <- struct{}{}
+		sendQUICPacket <- struct{}{}
+		<-ticker.C
+	}
+	close(sendNonQUICPacket)
+	close(sendQUICPacket)
 
 	select {
-	case err := <-errChan:
-		t.Fatalf("error sending non-QUIC packets: %v", err)
-	case <-done:
+	case err := <-errChanNonQUIC:
+		require.NoError(t, err, "error sending non-QUIC packets")
+	case <-time.After(time.Second):
+		t.Fatalf("timeout waiting for non-QUIC packets to be sent")
+	}
+	select {
+	case err := <-errChanQUIC:
+		require.NoError(t, err, "error sending QUIC packets")
+	case <-time.After(time.Second):
+		t.Fatalf("timeout waiting for QUIC packets to be sent")
+	}
+	select {
+	case err := <-readErr:
+		require.NoError(t, err, "error reading stream data")
+	case dataRcvd := <-dataChan:
+		require.Equal(t, dataSent, dataRcvd, "stream data mismatch")
+	case <-time.After(time.Second):
+		t.Fatalf("timeout waiting for stream data to be read")
 	}
 
-	sent := int(sentPackets.Load())
-	require.Greater(t, sent, 10, "not enough non-QUIC packets sent: %d", sent)
 	// make sure we don't overflow the capacity of the channel
-	require.LessOrEqual(t, sent, cap(rcvdPackets), "too many non-QUIC packets sent: %d > %d", sent, cap(rcvdPackets))
+	require.LessOrEqual(t, numPackets, cap(rcvdPackets), "too many non-QUIC packets sent: %d > %d", numPackets, cap(rcvdPackets))
 
 	// now receive these packets
-	minExpected := sent * 4 / 5
+	minExpected := numPackets * 4 / 5
 	timeout := time.After(time.Second)
 	var counter int
 	for {