Wireless LAN is intrinsically weak in security of transmissions. WPKI (Wireless Public Key Infrastructure) is a well known Method to deal with the security issues in wireless LAN. The authentication required by the method becomes a source of unrellability of the hand-off performance. This paper suggests a solution to overcome the instability while using the WPKI technique, Prior to getting into the next region, a station is provided with the keys of the surrounding regions so that the possible delay problem can be avoided during the actual hand-off time. Thereby the hand-off instability can be solved in the WPKI framework.