A drive arrangement for motor vehicles, especially for passenger motor vehicles, having an automatically shifting transmission and a mechanism for raising the idling rotational speed of the driving engine during a warm-up phase. The automatically shifting transmission includes a servo-device which, in a first position of a command slide valve, is adapted to be shifted into a position for a first speed range and, in a second position of the command slide valve, is adapted to be shifted into a position for a second speed range. A kickdown solenoid valve acting on the command slide valve is provided which, during actuation of a kick-down switch, passes over into a down-shifting position. A shifting-up relay opening, when energized, is connected in parallel with the kick-down switch whereby a switch is connected in the energizing circiuit of the shifting-up relay which closes the energizing circuit of the shifting-up relay upon actuation of a brake pedal in such a manner that the kick-down solenoid valve passes over into a shifting-up position during the actuation of the brake pedal.