diff --git a/http3/client.go b/http3/client.go
index 9f8323c6..977355cc 100644
--- a/http3/client.go
+++ b/http3/client.go
@@ -156,6 +156,10 @@ func (c *client) handleUnidirectionalStreams() {
 			// We're only interested in the control stream here.
 			switch streamType {
 			case streamTypeControlStream:
+			case streamTypeQPACKEncoderStream, streamTypeQPACKDecoderStream:
+				// Our QPACK implementation doesn't use the dynamic table yet.
+				// TODO: check that only one stream of each type is opened.
+				return
 			case streamTypePushStream:
 				// We never increased the Push ID, so we don't expect any push streams.
 				c.session.CloseWithError(quic.ErrorCode(errorIDError), "")
diff --git a/http3/client_test.go b/http3/client_test.go
index 281fa6f5..52723f5e 100644
--- a/http3/client_test.go
+++ b/http3/client_test.go
@@ -6,6 +6,7 @@ import (
 	"context"
 	"crypto/tls"
 	"errors"
+	"fmt"
 	"io"
 	"io/ioutil"
 	"net/http"
@@ -234,7 +235,33 @@ var _ = Describe("Client", func() {
 			time.Sleep(scaleDuration(20 * time.Millisecond)) // don't EXPECT any calls to sess.CloseWithError
 		})
 
-		It("ignores streams other than the control stream", func() {
+		for _, t := range []uint64{streamTypeQPACKEncoderStream, streamTypeQPACKDecoderStream} {
+			streamType := t
+			name := "encoder"
+			if streamType == streamTypeQPACKDecoderStream {
+				name = "decoder"
+			}
+
+			It(fmt.Sprintf("ignores the QPACK %s streams", name), func() {
+				buf := &bytes.Buffer{}
+				quicvarint.Write(buf, streamType)
+				str := mockquic.NewMockStream(mockCtrl)
+				str.EXPECT().Read(gomock.Any()).DoAndReturn(buf.Read).AnyTimes()
+
+				sess.EXPECT().AcceptUniStream(gomock.Any()).DoAndReturn(func(context.Context) (quic.ReceiveStream, error) {
+					return str, nil
+				})
+				sess.EXPECT().AcceptUniStream(gomock.Any()).DoAndReturn(func(context.Context) (quic.ReceiveStream, error) {
+					<-testDone
+					return nil, errors.New("test done")
+				})
+				_, err := client.RoundTrip(request)
+				Expect(err).To(MatchError("done"))
+				time.Sleep(scaleDuration(20 * time.Millisecond)) // don't EXPECT any calls to str.CancelRead
+			})
+		}
+
+		It("resets streams other than the control stream and the QPACK streams", func() {
 			buf := &bytes.Buffer{}
 			quicvarint.Write(buf, 1337)
 			str := mockquic.NewMockStream(mockCtrl)
diff --git a/http3/server.go b/http3/server.go
index 297e6d56..d49c64f4 100644
--- a/http3/server.go
+++ b/http3/server.go
@@ -30,11 +30,16 @@ var (
 )
 
 const (
-	nextProtoH3Draft29      = "h3-29"
-	nextProtoH3Draft32      = "h3-32"
-	nextProtoH3Draft34      = "h3-34"
-	streamTypeControlStream = 0
-	streamTypePushStream    = 1
+	nextProtoH3Draft29 = "h3-29"
+	nextProtoH3Draft32 = "h3-32"
+	nextProtoH3Draft34 = "h3-34"
+)
+
+const (
+	streamTypeControlStream      = 0
+	streamTypePushStream         = 1
+	streamTypeQPACKEncoderStream = 2
+	streamTypeQPACKDecoderStream = 3
 )
 
 func versionToALPN(v protocol.VersionNumber) string {
@@ -291,6 +296,10 @@ func (s *Server) handleUnidirectionalStreams(sess quic.EarlySession) {
 			// We're only interested in the control stream here.
 			switch streamType {
 			case streamTypeControlStream:
+			case streamTypeQPACKEncoderStream, streamTypeQPACKDecoderStream:
+				// Our QPACK implementation doesn't use the dynamic table yet.
+				// TODO: check that only one stream of each type is opened.
+				return
 			case streamTypePushStream: // only the server can push
 				sess.CloseWithError(quic.ErrorCode(errorStreamCreationError), "")
 				return
diff --git a/http3/server_test.go b/http3/server_test.go
index 3803a65d..2a009120 100644
--- a/http3/server_test.go
+++ b/http3/server_test.go
@@ -5,6 +5,7 @@ import (
 	"context"
 	"crypto/tls"
 	"errors"
+	"fmt"
 	"io"
 	"net"
 	"net/http"
@@ -225,7 +226,32 @@ var _ = Describe("Server", func() {
 				time.Sleep(scaleDuration(20 * time.Millisecond)) // don't EXPECT any calls to sess.CloseWithError
 			})
 
-			It("ignores streams other than the control stream", func() {
+			for _, t := range []uint64{streamTypeQPACKEncoderStream, streamTypeQPACKDecoderStream} {
+				streamType := t
+				name := "encoder"
+				if streamType == streamTypeQPACKDecoderStream {
+					name = "decoder"
+				}
+
+				It(fmt.Sprintf("ignores the QPACK %s streams", name), func() {
+					buf := &bytes.Buffer{}
+					quicvarint.Write(buf, streamType)
+					str := mockquic.NewMockStream(mockCtrl)
+					str.EXPECT().Read(gomock.Any()).DoAndReturn(buf.Read).AnyTimes()
+
+					sess.EXPECT().AcceptUniStream(gomock.Any()).DoAndReturn(func(context.Context) (quic.ReceiveStream, error) {
+						return str, nil
+					})
+					sess.EXPECT().AcceptUniStream(gomock.Any()).DoAndReturn(func(context.Context) (quic.ReceiveStream, error) {
+						<-testDone
+						return nil, errors.New("test done")
+					})
+					s.handleConn(sess)
+					time.Sleep(scaleDuration(20 * time.Millisecond)) // don't EXPECT any calls to str.CancelRead
+				})
+			}
+
+			It("reset streams other than the control stream and the QPACK streams", func() {
 				buf := &bytes.Buffer{}
 				quicvarint.Write(buf, 1337)
 				str := mockquic.NewMockStream(mockCtrl)