Air-demand-controlled compressor arrangement, particularly for commercial vehicles, includes a motor unit for generating a rotating movement which, by way of an interposed rotational-speed-transmitting transmission unit, drives a compressor unit for generating compressed air from ambient air. A control unit triggers the generating of compressed air in the case of a compressed-air demand. The transmission unit is constructed in the manner of a transmission whose rotational speed can be varied, and the control unit interacts with the transmission unit in order to adapt the rotational speed of the transmission unit corresponding to the compressed-air demand.