In those last decades the Underwater Wireless Sensor Network (UWSNs) have become the commonly explored technology by the scientific community, for the numerous benefits that it can brings to the researchers, however the frequent movement of the underwater sensors due to their mobility or water current factor may severally affect the efficiency of the acoustic wireless communication and reduce it performance. In this paper a Mobility Aware Strategy for Geographical Routing scheme (MAGR-VBF) has been proposed for an early prevention from the mobile sensor during the packet transmission, the protocol is aimed to predict the mobility and switch to another candidate sensor enable to recover the data packet in order to mitigate the packet loss problem. Based on the well-known routing protocol for the UWSNs ‘Vector Based Forwarding’ (VBF) the proposed study has been implemented and designed using the NS-2 simulator and Aqua-Sim. The result has shown that the presented work (MAGR-VBF) has brings a good performance over the basic VBF, where the energy consumption and the average end to end delay have been reduced by 8.97 % and 5.55 % respectively, and an average of 6.16 % has been increased of packet delivery ratio metric.