A method and system for managing accumulator effects during engagement of a lockup clutch of a torque converter includes selecting a pump speed profile that reduces a rotational speed of a pump of the torque converter from an initial value to a rotation speed of a turbine of the torque converter. A pump acceleration profile is determined based on the pump speed profile. Engagement of the lockup clutch is controlled as a function of an inertia of an engine associated with the torque converter, a torque applied by the engine to the pump, the rotational speed of the turbine, the pump speed profile, and the pump acceleration profile.