A high priority and/or emergency overload access control system treats a wireless unit as a higher priority wireless unit when the wireless unit is attempting to access a wireless communications system with a high priority call, such as an emergency call. For example, the overload access control system can recognize if the wireless unit is attempting to initiate a call to an emergency number. If so, the wireless unit can perform a persistence test as an emergency class (e.g. overload class 10-15) wireless unit in attempting to access the wireless communications system. Thus, the wireless unit will experience an increased probability of passing the persistence test and thereby reducing the persistence delay in attempting to access the wireless communications system with the emergency call.