diff --git a/client/iface/wgproxy/bind/proxy.go b/client/iface/wgproxy/bind/proxy.go
index e0883715a99..8a2e65382cd 100644
--- a/client/iface/wgproxy/bind/proxy.go
+++ b/client/iface/wgproxy/bind/proxy.go
@@ -2,6 +2,7 @@ package bind
 
 import (
 	"context"
+	"errors"
 	"fmt"
 	"net"
 	"net/netip"
@@ -94,7 +95,10 @@ func (p *ProxyBind) close() error {
 
 	p.Bind.RemoveEndpoint(p.wgAddr)
 
-	return p.remoteConn.Close()
+	if rErr := p.remoteConn.Close(); rErr != nil && !errors.Is(rErr, net.ErrClosed) {
+		return rErr
+	}
+	return nil
 }
 
 func (p *ProxyBind) proxyToLocal(ctx context.Context) {
diff --git a/client/iface/wgproxy/ebpf/wrapper.go b/client/iface/wgproxy/ebpf/wrapper.go
index efd5fd946cf..54cab4e1bbd 100644
--- a/client/iface/wgproxy/ebpf/wrapper.go
+++ b/client/iface/wgproxy/ebpf/wrapper.go
@@ -77,7 +77,7 @@ func (e *ProxyWrapper) CloseConn() error {
 
 	e.cancel()
 
-	if err := e.remoteConn.Close(); err != nil {
+	if err := e.remoteConn.Close(); err != nil && !errors.Is(err, net.ErrClosed) {
 		return fmt.Errorf("failed to close remote conn: %w", err)
 	}
 	return nil
diff --git a/client/iface/wgproxy/udp/proxy.go b/client/iface/wgproxy/udp/proxy.go
index 200d961f3c8..ba0004b8a4a 100644
--- a/client/iface/wgproxy/udp/proxy.go
+++ b/client/iface/wgproxy/udp/proxy.go
@@ -116,7 +116,7 @@ func (p *WGUDPProxy) close() error {
 	p.cancel()
 
 	var result *multierror.Error
-	if err := p.remoteConn.Close(); err != nil {
+	if err := p.remoteConn.Close(); err != nil && !errors.Is(err, net.ErrClosed) {
 		result = multierror.Append(result, fmt.Errorf("remote conn: %s", err))
 	}
 
diff --git a/client/internal/peer/conn.go b/client/internal/peer/conn.go
index 84a8c221fa6..81c456db747 100644
--- a/client/internal/peer/conn.go
+++ b/client/internal/peer/conn.go
@@ -442,7 +442,7 @@ func (conn *Conn) relayConnectionIsReady(rci RelayConnInfo) {
 
 	if conn.iceP2PIsActive() {
 		conn.log.Debugf("do not switch to relay because current priority is: %v", conn.currentConnPriority)
-		conn.wgProxyRelay = wgProxy
+		conn.setRelayedProxy(wgProxy)
 		conn.statusRelay.Set(StatusConnected)
 		conn.updateRelayStatus(rci.relayedConn.RemoteAddr().String(), rci.rosenpassPubKey)
 		return
@@ -465,7 +465,7 @@ func (conn *Conn) relayConnectionIsReady(rci RelayConnInfo) {
 	wgConfigWorkaround()
 	conn.currentConnPriority = connPriorityRelay
 	conn.statusRelay.Set(StatusConnected)
-	conn.wgProxyRelay = wgProxy
+	conn.setRelayedProxy(wgProxy)
 	conn.updateRelayStatus(rci.relayedConn.RemoteAddr().String(), rci.rosenpassPubKey)
 	conn.log.Infof("start to communicate with peer via relay")
 	conn.doOnConnected(rci.rosenpassPubKey, rci.rosenpassAddr)
@@ -736,6 +736,15 @@ func (conn *Conn) logTraceConnState() {
 	}
 }
 
+func (conn *Conn) setRelayedProxy(proxy wgproxy.Proxy) {
+	if conn.wgProxyRelay != nil {
+		if err := conn.wgProxyRelay.CloseConn(); err != nil {
+			conn.log.Warnf("failed to close deprecated wg proxy conn: %v", err)
+		}
+	}
+	conn.wgProxyRelay = proxy
+}
+
 func isController(config ConnConfig) bool {
 	return config.LocalKey > config.Key
 }
diff --git a/relay/client/client.go b/relay/client/client.go
index a82a75453bf..154c1787f2c 100644
--- a/relay/client/client.go
+++ b/relay/client/client.go
@@ -3,7 +3,6 @@ package client
 import (
 	"context"
 	"fmt"
-	"io"
 	"net"
 	"sync"
 	"time"
@@ -449,11 +448,11 @@ func (c *Client) writeTo(connReference *Conn, id string, dstID []byte, payload [
 	conn, ok := c.conns[id]
 	c.mu.Unlock()
 	if !ok {
-		return 0, io.EOF
+		return 0, net.ErrClosed
 	}
 
 	if conn.conn != connReference {
-		return 0, io.EOF
+		return 0, net.ErrClosed
 	}
 
 	// todo: use buffer pool instead of create new transport msg.
@@ -508,7 +507,7 @@ func (c *Client) closeConn(connReference *Conn, id string) error {
 
 	container, ok := c.conns[id]
 	if !ok {
-		return fmt.Errorf("connection already closed")
+		return net.ErrClosed
 	}
 
 	if container.conn != connReference {
diff --git a/relay/client/conn.go b/relay/client/conn.go
index b4ff903e828..fe1b6fb52ed 100644
--- a/relay/client/conn.go
+++ b/relay/client/conn.go
@@ -1,7 +1,6 @@
 package client
 
 import (
-	"io"
 	"net"
 	"time"
 )
@@ -40,7 +39,7 @@ func (c *Conn) Write(p []byte) (n int, err error) {
 func (c *Conn) Read(b []byte) (n int, err error) {
 	msg, ok := <-c.messageChan
 	if !ok {
-		return 0, io.EOF
+		return 0, net.ErrClosed
 	}
 
 	n = copy(b, msg.Payload)
diff --git a/relay/server/listener/ws/conn.go b/relay/server/listener/ws/conn.go
index c248963b9f5..12e721fdb19 100644
--- a/relay/server/listener/ws/conn.go
+++ b/relay/server/listener/ws/conn.go
@@ -4,7 +4,6 @@ import (
 	"context"
 	"errors"
 	"fmt"
-	"io"
 	"net"
 	"sync"
 	"time"
@@ -100,7 +99,7 @@ func (c *Conn) isClosed() bool {
 
 func (c *Conn) ioErrHandling(err error) error {
 	if c.isClosed() {
-		return io.EOF
+		return net.ErrClosed
 	}
 
 	var wErr *websocket.CloseError
@@ -108,7 +107,7 @@ func (c *Conn) ioErrHandling(err error) error {
 		return err
 	}
 	if wErr.Code == websocket.StatusNormalClosure {
-		return io.EOF
+		return net.ErrClosed
 	}
 	return err
 }
diff --git a/relay/server/peer.go b/relay/server/peer.go
index a9c542f84c4..c909c35d542 100644
--- a/relay/server/peer.go
+++ b/relay/server/peer.go
@@ -2,7 +2,7 @@ package server
 
 import (
 	"context"
-	"io"
+	"errors"
 	"net"
 	"sync"
 	"time"
@@ -57,7 +57,7 @@ func (p *Peer) Work() {
 	for {
 		n, err := p.conn.Read(buf)
 		if err != nil {
-			if err != io.EOF {
+			if !errors.Is(err, net.ErrClosed) {
 				p.log.Errorf("failed to read message: %s", err)
 			}
 			return