diff --git a/udp_muxed_conn.go b/udp_muxed_conn.go
index 4e6588d0..9f438b3e 100644
--- a/udp_muxed_conn.go
+++ b/udp_muxed_conn.go
@@ -144,6 +144,8 @@ func (c *udpMuxedConn) Close() error {
 
 			pkt = next
 		}
+		c.bufHead = nil
+		c.bufTail = nil
 
 		c.state = udpMuxedConnClosed
 		close(c.closedChan)