A Vehicular Ad hoc Network (VANET) is a special type of Mobile Ad hoc Network (MANET). One of the main applications of VANETs is safety. This is accomplished by disseminating an Early Warning Message (EWM) to all vehicles in an emergency zone. However, broadcasting an EWM in a multihop environment, such as a VANET, introduces many challenges. The main challenge is the broadcast storm problem. In this paper, we propose a novel broadcasting communication scheme for VANETs. During an emergency situation a congested scenario is possible when vehicle density on the road is high. This causes contention at the MAC layer, which leads to collisions and increases the number of rebroadcasts, hence reducing packet dissemination, increasing delay and network resource use. Our proposed communication scheme is an SNR-based dynamic suppression scheme that aims to significantly reduce the effects of the broadcast storm problem by minimizing the number of rebroadcasting vehicles. The proposed scheme achieves this by considering the physical layer characteristics and the number of times a vehicle receives an EWM. Moreover, we correlate vehicle density and suppression range through a formula to determine the effective suppression range. The proposed scheme maintains network connectivity and achieves almost 100% reachability to all vehicles throughout the zone. Furthermore, the proposed scheme minimizes delay by 0.4 sec in high density scenarios.