A powertrain includes an engine, a transmission, and a torque converter located between the engine and the transmission. Subsequent to a rapid increase in engine torque commands, torque converter slip is controlled by monitoring a measured torque converter slip after the rapid increase in engine torque commands, determining a maximum measured torque converter slip value resulting from the rapid increase in engine torque commands based upon the measured torque converter slip, determining a target value to which to reduce the torque converter slip, determining a recovery profile to reduce the torque converter slip from the maximum measured torque converter slip to the target value, and utilizing the recovery profile to controllably reduce the torque controller slip. Determining the recovery profile includes commanding reducing slip through the profile at commanded torque converter slip values selected to prevent the torque converter slip from reaching zero.