A longitudinal driver assistance system, in a hybrid vehicle equipped with at least one electric drive motor, one internal combustion engine and one electronic drive control unit which actuates said motor and engine, includes: a detection system for the predictive detection of an event which, starting from an actual speed, leads to the specification of an increased setpoint speed at a specified location-dependent time, and a function unit which is configured to specify a setpoint acceleration profile to the increased setpoint speed and to output it to the drive control unit for generating a motor/engine torque which is necessary to reach the setpoint acceleration profile. The function unit is also configured to receive, when a defined condition applies, a limiting maximum possible motor/engine torque from the drive control unit, which motor/engine torque is not sufficient to reach the setpoint acceleration profile, and to specify a changed setpoint acceleration profile on the basis thereof.