diff --git a/shared/relay/client/client.go b/shared/relay/client/client.go
index e0e894eb1..ed1b63435 100644
--- a/shared/relay/client/client.go
+++ b/shared/relay/client/client.go
@@ -18,6 +18,7 @@ import (
 const (
 	bufferSize            = 8820
 	serverResponseTimeout = 8 * time.Second
+	connChannelSize       = 100
 )
 
 var (
@@ -69,15 +70,37 @@ type connContainer struct {
 	cancel      context.CancelFunc
 }
 
-func newConnContainer(log *log.Entry, conn *Conn, messages chan Msg) *connContainer {
+func newConnContainer(log *log.Entry, c *Client, peerID messages.PeerID, instanceURL *RelayAddr) *connContainer {
 	ctx, cancel := context.WithCancel(context.Background())
-	return &connContainer{
+	msgChan := make(chan Msg, connChannelSize)
+	cn := &Conn{
+		dstID:       peerID,
+		messageChan: msgChan,
+		instanceURL: instanceURL,
+	}
+	cc := &connContainer{
 		log:      log,
-		conn:     conn,
-		messages: messages,
+		conn:     cn,
+		messages: msgChan,
 		ctx:      ctx,
 		cancel:   cancel,
 	}
+
+	// bind conn to client
+	cn.writeFn = func(dstID messages.PeerID, payload []byte) (int, error) {
+		return c.writeTo(cc, dstID, payload)
+	}
+	cn.closeFn = func(dstID messages.PeerID) error {
+		return c.closeConn(cc, dstID)
+	}
+	cn.localAddrFn = func() net.Addr {
+		return c.relayConn.LocalAddr()
+	}
+	return cc
+}
+
+func (cc *connContainer) netConn() net.Conn {
+	return cc.conn
 }
 
 func (cc *connContainer) writeMsg(msg Msg) {
@@ -235,9 +258,7 @@ func (c *Client) OpenConn(ctx context.Context, dstPeerID string) (net.Conn, erro
 	instanceURL := c.instanceURL
 	c.muInstanceURL.Unlock()
 
-	msgChannel := make(chan Msg, 100)
-	conn := NewConn(c, peerID, msgChannel, instanceURL)
-	container := newConnContainer(c.log, conn, msgChannel)
+	container := newConnContainer(c.log, c, peerID, instanceURL)
 	c.conns[peerID] = container
 	earlyMsg, hasEarly := c.earlyMsgs.pop(peerID)
 	c.mu.Unlock()
@@ -270,7 +291,7 @@ func (c *Client) OpenConn(ctx context.Context, dstPeerID string) (net.Conn, erro
 	c.mu.Unlock()
 
 	c.log.Infof("remote peer is available: %s", peerID)
-	return conn, nil
+	return container.netConn(), nil
 }
 
 // ServerInstanceURL returns the address of the relay server. It could change after the close and reopen the connection.
@@ -500,15 +521,15 @@ func (c *Client) handleTransportMsg(buf []byte, bufPtr *[]byte, internallyStoppe
 	return true
 }
 
-func (c *Client) writeTo(connReference *Conn, dstID messages.PeerID, payload []byte) (int, error) {
+func (c *Client) writeTo(containerRef *connContainer, dstID messages.PeerID, payload []byte) (int, error) {
 	c.mu.Lock()
-	conn, ok := c.conns[dstID]
+	current, ok := c.conns[dstID]
 	c.mu.Unlock()
 	if !ok {
 		return 0, net.ErrClosed
 	}
 
-	if conn.conn != connReference {
+	if current != containerRef {
 		return 0, net.ErrClosed
 	}
 
@@ -582,26 +603,26 @@ func (c *Client) closeConnsByPeerID(peerIDs []messages.PeerID) {
 	}
 }
 
-func (c *Client) closeConn(connReference *Conn, id messages.PeerID) error {
+func (c *Client) closeConn(containerRef *connContainer, id messages.PeerID) error {
 	c.mu.Lock()
 	defer c.mu.Unlock()
 
-	container, ok := c.conns[id]
+	current, ok := c.conns[id]
 	if !ok {
 		return net.ErrClosed
 	}
 
-	if container.conn != connReference {
+	if current != containerRef {
 		return fmt.Errorf("conn reference mismatch")
 	}
 
 	if err := c.stateSubscription.UnsubscribeStateChange([]messages.PeerID{id}); err != nil {
-		container.log.Errorf("failed to unsubscribe from peer state change: %s", err)
+		current.log.Errorf("failed to unsubscribe from peer state change: %s", err)
 	}
 
 	c.log.Infof("free up connection to peer: %s", id)
 	delete(c.conns, id)
-	container.close()
+	current.close()
 
 	return nil
 }
diff --git a/shared/relay/client/conn.go b/shared/relay/client/conn.go
index 4e151aaa4..9e2279790 100644
--- a/shared/relay/client/conn.go
+++ b/shared/relay/client/conn.go
@@ -9,49 +9,35 @@ import (
 
 // Conn represent a connection to a relayed remote peer.
 type Conn struct {
-	client      *Client
 	dstID       messages.PeerID
 	messageChan chan Msg
 	instanceURL *RelayAddr
-}
-
-// NewConn creates a new connection to a relayed remote peer.
-// client: the client instance, it used to send messages to the destination peer
-// dstID: the destination peer ID
-// messageChan: the channel where the messages will be received
-// instanceURL: the relay instance URL, it used to get the proper server instance address for the remote peer
-func NewConn(client *Client, dstID messages.PeerID, messageChan chan Msg, instanceURL *RelayAddr) *Conn {
-	c := &Conn{
-		client:      client,
-		dstID:       dstID,
-		messageChan: messageChan,
-		instanceURL: instanceURL,
-	}
-
-	return c
+	writeFn     func(messages.PeerID, []byte) (int, error)
+	closeFn     func(messages.PeerID) error
+	localAddrFn func() net.Addr
 }
 
 func (c *Conn) Write(p []byte) (n int, err error) {
-	return c.client.writeTo(c, c.dstID, p)
+	return c.writeFn(c.dstID, p)
 }
 
 func (c *Conn) Read(b []byte) (n int, err error) {
-	msg, ok := <-c.messageChan
+	m, ok := <-c.messageChan
 	if !ok {
 		return 0, net.ErrClosed
 	}
 
-	n = copy(b, msg.Payload)
-	msg.Free()
+	n = copy(b, m.Payload)
+	m.Free()
 	return n, nil
 }
 
 func (c *Conn) Close() error {
-	return c.client.closeConn(c, c.dstID)
+	return c.closeFn(c.dstID)
 }
 
 func (c *Conn) LocalAddr() net.Addr {
-	return c.client.relayConn.LocalAddr()
+	return c.localAddrFn()
 }
 
 func (c *Conn) RemoteAddr() net.Addr {