A vehicle includes an engine, torque converter, transmission, accumulator, sensor, and controller. The engine is automatically restarted in response to a start signal during an engine auto-start event. The transmission has a calibrated line pressure and a plurality (n) of clutches. The (n) clutches are engaged to execute the engine auto-start event. The accumulator delivers fluid under pressure to the transmission in response to the start signal. The controller controls (n−1) of the plurality (n) of clutches to the calibrated line pressure in response to detecting the start signal. The controller also modifies clutch fill parameters which control a fill sequence of the remaining clutch, i.e., the designated control clutch, as a function of a deviation of the measured turbine speed from a theoretical no-slip turbine speed. A system includes the transmission, sensor, accumulator, and controller. A method for controlling the designated clutch is also disclosed.