A compressor device comprising a compressor element with a housing with, an inlet and an outlet. At least one rotor is affixed in the housing that is provided with a drive. The compressor device is provided with an oil circuit for injecting oil into the housing. The oil circuit only comprises one pump for driving the oil around in the oil circuit. This pump is coupled to a first shaft via a first disengageable coupling, more specifically a shaft of the aforementioned drive on the one hand, and to a second shaft via a second disengageable coupling, more specifically a shaft of a secondary drive on the other hand. The first and second disengageable couplings between the pump and the first shaft and between the pump and the second shaft are such that the pump is only driven by the shaft of these two shafts that has the highest speed.