While Snoop improves network performance by using local retransmission in case of packet loss in wireless network, it has security vulnerability to be unable to countermeasure against falsified ACKs attacks. Therefore in this paper, we suggest a modified Snoop with an extra buffer in addition to original Snoop buffer. Even though packets are exhausted in original buffer by falsified ACKs attacks, proposed Snoop can locally retransmit the packets saved in the extra buffer. The simulation by NS-2 shows that proposed Snoop countermeasure efficiently against falsified ACKs attack and builds securer Snoop protocol.