Recently, with the increasing popularity of autonomous vehicles, the use of Vehicular Adhoc Networks (VANETs) has been increased in order to listen to the environment, to perceive the changes, and to warn the driver or nearby vehicles about the changing road conditions. VANETs usually consist of fast-moving mobile vehicles and fixed or mobile management units (RSUs). One of the major problems of vehicle networks is the problem of early setup of the network, that is, quick organization. This problem is directly related to the length of time that they spend to provide network connectivity for vehicles, which want to join the network. The lower the time, which is referred as the access delay, the faster the network can be set up. In network access control (MAC) protocols, which perform network setup, it is possible to speed up network setup with algorithms that consider these metrics. In this study, it is aimed to use a reservation algorithm, which can contribute to network fast organization and reduce access delays, in channel assignments within MAC protocol. In this paper, access delay performance was tested using a newly developed reservation algorithm in a MAC scheme developed for vehicle networks. The positive effects of the reservation method on access delay and network setup have been discussed by examining the simulation results of different scenarios.