Vehicular communications are important to ensure emergency messages are transmitted on time to prevent accidents. Therefore, in recent years, various standardization bodies and automobile companies have developed vehicular ad hoc network (VANET) to ensure public road safety. The current IEEE802.11p schemes utilize only traffic type to categorize priority levels. However, accidents are prone to occur when vehicles are in close distance. Therefore, based on the latest standard draft of IEEE1609.4 and IEEE802.11p, the proposed scheme, namely Enhanced Priority VANET Scheme (EPVS) is proposed where distance range between vehicles is derived and transmission priority level is categorized based on reliable distance range and data type. Performance of the proposed EPVS is evaluated in Vehicles in Network Simulation (Veins) with road traffic simulator, Simulation of Urban mobility (SUMO) using a realistic urban map. Simulations results show that the proposed EPVS results in lower average delay, in comparison with the default IEEE802.11p scheme.