A motor-driven roots - compressor has a drive shaft, which is driven by a motor, and a driven shaft, which by means of a time expensive transmission is connected to a drive shaft. A pair of rotors is in each case on the drive shaft and the driven shaft fixed. The rotors are rotated, so that the compressor sucks in and outputs working fluid. The compressor also has a housing which has a plurality of casings having a motor chamber for receiving of the motor, a gear chamber for receiving the time expensive gear and a rotor chamber for receiving of the pair of rotors define. A cooling passage is configured in at least one of the casings of the motor chamber and the gear chamber designed for flow of the working fluid. At least the motor or the time expensive transmission, by means of the working fluid in the cooled cooling passage.
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