Methods, systems, and devices are described for predicting a current random access transmission power detectable by a base station based on historical transmission power information. In one aspect, a mobile device may access a historical transmission power associated with a current state of the mobile device, with the historical transmission power based on mobility patterns of the mobile device. Based at least in part on the accessed historical transmission power, the mobile device may predict a current random access transmission power of the mobile device, where the predicted current random access transmission power is configured to elicit a random access response from a base station. In one aspect, the techniques described herein may reduce a number of power ramp steps taken by the mobile device during a random access procedure, reduce interference from the mobile device during the random access procedure, or both based on the predicted current random access transmission power.