The possibility of shortening the braking distance by the application of an additional driving torque linked to a control mechanism working with an ABS system is investigated in this work. In the ABS control cycle., the reacceleration of the locking wheels is provided only by decreasing the braking pressure. An external tractive torque can be used to shorten the time for acceleration during the phase of lowering of the braking pressure. The engine of the vehicle or an additional electric motor could be used as a source of external tractive force. The possibility of decreasing the braking distance by such a system is investigated by using a mathematical model. The effect of the additional accelerating torque is analysed with a simulation model and it is concluded that an increase of up to 10 per cent in braking distance may be obtained.