In a proactive routing protocol, each node periodically transmits control packets to distribute its local topology. Since the conditions of a mobile ad hoc network are rarely uniform, using the same period at each node may not result in the best performance. Therefore, we propose a protocol that is locally proactive, i.e., each node periodically transmits control packets using a time interval based on its local network conditions. Our objective is to simultaneously maximize the packet delivery ratio and minimize the control overhead. To accomplish it, we develop statistical models for each response for the OLSR routing protocol as a function of node speed and two timer intervals. In simulation we show that the locally proactive OLSR reduces the control overhead by 35-44% and obtains a packet delivery ratio that is statistically identical to that of the original OLSR protocol.