A new algorithm called Virtual Channel Borrowing (VCB) used to improve the resource sharing performance of a Fixed Channel Assignment (FCA) scheme is proposed and analyzed. The underlying idea is to exploit regions of cell overlap to achieve a balanced distribution of traffic load in non uniform traffic conditions while reducing call blocks and handoff failures. Simulation results show a performance improvement at the expense of additional signaling. Another advantage of VCB is that it can be integrated easily with small additional cost.