A clutch control system comprises a clutch torque determination module and a clutch pressure control module. The clutch torque determination module determines a desired torque value for a torque converter clutch (TCC) based on a torque output of an engine, a pump torque value for a pump integrated with a torque converter, a desired engine acceleration, and an inertia value of the engine. The clutch pressure control module selectively controls pressure applied to the TCC based on the desired torque value.