Method for influencing the propulsive power of a motor vehicle driven by a drive motor. An intervention variable, influencing the torque of the drive motor, is ascertained as a function of the wheel behavior of at least one wheel of the motor vehicle, and/or as a function of the motion of the motor vehicle. The drive motor is acted upon with the intervention variable to limit the propulsive power of the motor vehicle. An easily manipulated, safe, and reliable capability for automatically detecting situations in which the driver desires a greater propulsive power and making a greater propulsive power available in those situations, a motor vehicle with a slip control system is created. Evaluating a pedal variable that describes the actuation of an accelerator pedal of the motor vehicle, or a limitation variable that describes the number of limitations of driver stipulations resulting from the ascertaining of the intervention variable within a definable time window. Correcting the intervention variable, as a function of the pedal variable or the limitation variable, toward a corresponding greater propulsive power.