A minimum torque module selectively determines a first minimum propulsion torque based on second and third minimum propulsion torques when a torque converter clutch is in unlocked and locked states, respectively. A zero pedal torque module selectively sets a zero pedal torque equal to the first minimum propulsion torque. A pedal request module determines a pedal torque request based on an accelerator pedal position, a vehicle speed, and the zero pedal torque. A driver request module determines a driver axle torque request based on the pedal torque request. A shaping module selectively shapes the driver axle torque request into a shaped driver axle torque request. A conversion module converts the first minimum propulsion torque into a minimum axle torque. A final driver request module sets a final driver axle torque request equal to a greater of the shaped driver axle torque request and the minimum axle torque.