The compressor system according to the invention for a process gas plant having heat return comprises a compressor for compressing a moist process gas, which compressor comprises at least one compressor stage, and a process gas cooler unit, which is connected downstream of the compressor stage to cool the process gas, and at least one first and one second process gas cooler operated with a cooling medium, wherein the process gas coolers each comprise an individual process gas cooler jacket that is exposed to the process gas and that has a process gas cooler bundle that is accommodated therein and that is exposed to the cooling medium, and the process gas coolers are connected one directly after the other on the process gas side and are designed and can be operated with the cooling medium in such a way that a predetermined heat flow can be removed from the process gas by the process gas cooler arranged upstream on the process gas side, whereby the thermodynamic state of the process gas between the process gas coolers is located in the range of the dew point line, and the process gas can be cooled to a predetermined temperature by means of the process gas cooler arranged downstream on the process gas side. The dew point line means the line in a pressure-enthalpy diagram for the process gas that marks the thermodynamic states of the process gas in which the moisture is precipitated in the process gas.