Header Compression is a useful technique for reducing the load on bandwidth-scarce wireless links. Header Compression depends on the establishment and synchronization of context at the compressor and the decompressor. In mobile wireless networks, it is desirable to transfer this context between access routers to avoid the expensive process of context re-establishment when handovers are required. In this chapter we propose a method for avoiding the need for context re-establishment when packets are lost during handovers, as well as a mean for efficiently transferring the context to new access routers (by piggybacking the context information on Mobile IP signaling messages). The analysis of our scheme shows that it can reduce signaling load during handovers, which is beneficial in mobile networks with frequent handovers (e.g. wireless LAN hot spots).