diff --git a/udp_muxed_conn.go b/udp_muxed_conn.go
index 9ff90685..322d0207 100644
--- a/udp_muxed_conn.go
+++ b/udp_muxed_conn.go
@@ -147,6 +147,8 @@ func (c *udpMuxedConn) Close() error {
 
 			pkt = next
 		}
+		c.bufHead = nil
+		c.bufTail = nil
 
 		c.state = udpMuxedConnClosed
 		close(c.closedChan)