The Mobile Broadband Association has developed the MIS and MISAUTH protocols as link-layer fast authentication protocols. A combination of MIS and MISAUTH protocols, called as MISP, provides secure and fast connection for a wireless access network, but it has been reported that MISP creates a weak session key and suffers from a denial-of-service attack. In addition, a transaction with an authentication server that is required for every authentication is considered as a delay factor during handovers. In this paper, we present an improvement of MISP that utilizes the fast handover approach of Fast Mobile IPv6 and minimizes an involvement of the authentication server while eliminating identified security drawbacks of MISP. The formal security analysis is performed to verify the correctness of the proposed scheme. Moreover, the handover performance of the proposed scheme is compared with an existing scheme.