diff --git a/http3/client.go b/http3/client.go
index e05ca2b4..8ca78bb7 100644
--- a/http3/client.go
+++ b/http3/client.go
@@ -11,6 +11,7 @@ import (
 	"sync"
 
 	"github.com/lucas-clemente/quic-go"
+	"github.com/lucas-clemente/quic-go/internal/qtls"
 	"github.com/lucas-clemente/quic-go/internal/utils"
 	"github.com/marten-seemann/qpack"
 )
@@ -240,10 +241,12 @@ func (c *client) doRequest(
 		return nil, newConnError(errorGeneralProtocolError, err)
 	}
 
+	connState := qtls.ToTLSConnectionState(c.session.ConnectionState())
 	res := &http.Response{
 		Proto:      "HTTP/3",
 		ProtoMajor: 3,
 		Header:     http.Header{},
+		TLS:        &connState,
 	}
 	for _, hf := range hfs {
 		switch hf.Name {
diff --git a/http3/client_test.go b/http3/client_test.go
index 0a2474f1..fd2d998a 100644
--- a/http3/client_test.go
+++ b/http3/client_test.go
@@ -14,6 +14,9 @@ import (
 	"github.com/golang/mock/gomock"
 	quic "github.com/lucas-clemente/quic-go"
 	mockquic "github.com/lucas-clemente/quic-go/internal/mocks/quic"
+
+	"github.com/lucas-clemente/quic-go/internal/protocol"
+	"github.com/lucas-clemente/quic-go/internal/qtls"
 	"github.com/lucas-clemente/quic-go/internal/utils"
 	"github.com/marten-seemann/qpack"
 
@@ -221,6 +224,7 @@ var _ = Describe("Client", func() {
 			gomock.InOrder(
 				sess.EXPECT().HandshakeComplete().Return(handshakeCtx),
 				sess.EXPECT().OpenStreamSync(context.Background()).Return(str, nil),
+				sess.EXPECT().ConnectionState().Return(qtls.ConnectionState{}),
 			)
 			str.EXPECT().Write(gomock.Any()).AnyTimes().DoAndReturn(func(p []byte) (int, error) { return len(p), nil })
 			str.EXPECT().Close()
@@ -390,6 +394,7 @@ var _ = Describe("Client", func() {
 				req := request.WithContext(ctx)
 				sess.EXPECT().HandshakeComplete().Return(handshakeCtx)
 				sess.EXPECT().OpenStreamSync(ctx).Return(str, nil)
+				sess.EXPECT().ConnectionState().Return(qtls.ConnectionState{})
 				buf := &bytes.Buffer{}
 				str.EXPECT().Close().MaxTimes(1)
 
@@ -451,6 +456,7 @@ var _ = Describe("Client", func() {
 
 			It("decompresses the response", func() {
 				sess.EXPECT().OpenStreamSync(context.Background()).Return(str, nil)
+				sess.EXPECT().ConnectionState().Return(qtls.ConnectionState{})
 				buf := &bytes.Buffer{}
 				rw := newResponseWriter(buf, utils.DefaultLogger)
 				rw.Header().Set("Content-Encoding", "gzip")
@@ -476,6 +482,7 @@ var _ = Describe("Client", func() {
 
 			It("only decompresses the response if the response contains the right content-encoding header", func() {
 				sess.EXPECT().OpenStreamSync(context.Background()).Return(str, nil)
+				sess.EXPECT().ConnectionState().Return(qtls.ConnectionState{})
 				buf := &bytes.Buffer{}
 				rw := newResponseWriter(buf, utils.DefaultLogger)
 				rw.Write([]byte("not gzipped"))
diff --git a/internal/qtls/go114.go b/internal/qtls/go114.go
index 79ad6f0b..c6c6d513 100644
--- a/internal/qtls/go114.go
+++ b/internal/qtls/go114.go
@@ -143,6 +143,25 @@ func GetConnectionState(conn *Conn) ConnectionState {
 	return conn.ConnectionState()
 }
 
+// ToTLSConnectionState extracts the tls.ConnectionState
+// Warning: Calling ExportKeyingMaterial won't work.
+func ToTLSConnectionState(cs ConnectionState) tls.ConnectionState {
+	return tls.ConnectionState{
+		Version:                     cs.Version,
+		HandshakeComplete:           cs.HandshakeComplete,
+		DidResume:                   cs.DidResume,
+		CipherSuite:                 cs.CipherSuite,
+		NegotiatedProtocol:          cs.NegotiatedProtocol,
+		NegotiatedProtocolIsMutual:  cs.NegotiatedProtocolIsMutual,
+		ServerName:                  cs.ServerName,
+		PeerCertificates:            cs.PeerCertificates,
+		VerifiedChains:              cs.VerifiedChains,
+		SignedCertificateTimestamps: cs.SignedCertificateTimestamps,
+		OCSPResponse:                cs.OCSPResponse,
+		TLSUnique:                   cs.TLSUnique,
+	}
+}
+
 type cipherSuiteTLS13 struct {
 	ID     uint16
 	KeyLen int
diff --git a/internal/qtls/go115.go b/internal/qtls/go115.go
index a64728c7..72bfb2c8 100644
--- a/internal/qtls/go115.go
+++ b/internal/qtls/go115.go
@@ -5,6 +5,7 @@ package qtls
 import (
 	"crypto"
 	"crypto/cipher"
+	"crypto/tls"
 	"net"
 	"unsafe"
 
@@ -85,6 +86,11 @@ func GetConnectionState(conn *Conn) ConnectionState {
 	return conn.ConnectionStateWith0RTT()
 }
 
+// ToTLSConnectionState extracts the tls.ConnectionState
+func ToTLSConnectionState(cs ConnectionState) tls.ConnectionState {
+	return cs.ConnectionState
+}
+
 type cipherSuiteTLS13 struct {
 	ID     uint16
 	KeyLen int