Mobile IPv6 was designed to allow nodes to be reachable and maintain ongoing connections while they are within the network topology. A number of implementations of Mobile IPv6 have been proposed to enhance the performance of MIPv6. This study proposed a new scheme to reduce the real-time traffic packet loss in MIPv6 environment. Network Simulator (ns-2) and its extension MobiWan that supports IPv6 have been used to simulate the proposed scheme and tested its efficiency. The proposed scheme on the Correspondent Node showed that it could reduced packet loss occurred during Mobile Node handover as the Correspondent Node sending data to Mobile Node. Apart from the number of lost packets, some other metrics such as throughput and delay have also been analyzed to investigate the performance of the proposed two-tier buffer compared to the normal MIPv6 scheme.