diff --git a/helper/http2/http2.go b/helper/http2/http2.go
index 24b59b0..dd7788a 100644
--- a/helper/http2/http2.go
+++ b/helper/http2/http2.go
@@ -2,6 +2,7 @@
 package http2
 
 import (
+	"context"
 	"crypto/tls"
 	"fmt"
 	"log"
@@ -143,7 +144,13 @@ func (srv *Server) serveConn(conn net.Conn) error {
 	switch proto {
 	case http2.NextProtoTLS, "h2c":
 		defer conn.Close()
-		opts := http2.ServeConnOpts{Handler: srv.h1.Handler}
+
+		ctx := context.Background()
+		if srv.h1.ConnContext != nil {
+			ctx = srv.h1.ConnContext(ctx, conn)
+		}
+
+		opts := http2.ServeConnOpts{Context: ctx, BaseConfig: srv.h1}
 		srv.h2.ServeConn(conn, &opts)
 		return nil
 	case "", "http/1.0", "http/1.1":
diff --git a/helper/http2/http2_test.go b/helper/http2/http2_test.go
index 054f12d..aa8719c 100644
--- a/helper/http2/http2_test.go
+++ b/helper/http2/http2_test.go
@@ -1,6 +1,7 @@
 package http2_test
 
 import (
+	"context"
 	"errors"
 	"log"
 	"net"
@@ -32,6 +33,10 @@ func ExampleServer() {
 	}
 }
 
+type contextKey string
+
+const connContextKey = contextKey("conn")
+
 func TestServer_h1(t *testing.T) {
 	addr, server := newTestServer(t)
 	defer server.Close()
@@ -94,7 +99,13 @@ func newTestServer(t *testing.T) (addr string, server *http.Server) {
 
 	server = &http.Server{
 		Handler: http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+			if v := r.Context().Value(connContextKey); v == nil {
+				t.Errorf("http.Request.Context missing connContextKey")
+			}
 		}),
+		ConnContext: func(ctx context.Context, conn net.Conn) context.Context {
+			return context.WithValue(ctx, connContextKey, struct{}{})
+		},
 	}
 
 	h2Server := h2proxy.NewServer(server, nil)