Over last decades, there have been great advance in wireless and mobile communications. The revealing of heterogeneous networks also increased the importance of cooperation of different technologies. Mobility managements also became an important issue of wireless and mobile networks. Handoff management is of most important part of mobility management issue regarding these technologies. Mobile IP is the well-known protocol in order to cope with mobility since years. Recently, there are also new contributions about mobility management by IETF and IRTF such as Host Identity Protocol (HIP) to replace Mobile IP in terms of managing mobility. The basic idea of HIP is based on the idea of separation the role of IP addresses for location and identification of a mobile node in the network. In this study, our motivation is to extend our previously proposed handover management method that we named "early update for host identity protocol (eHIP)". We propose to introduce the idea of simply employing movement prediction idea to regular eHIP and so enhancing the handover latency