A fluid compression system is disclosed having a hermetically-sealed housing with at least a motor and a compressor arranged therein. The motor may drive both the compressor and a blower configured to circulate a cooling gas throughout the housing and thereby cool the motor and accompanying radial bearings. The cooling gas may be cooled in a gas-to-gas heat exchanger fluidly coupled to the blower and configured to receive a flow of process gas to cool the cooling gas. The process gas may be the suction process gas for the compressor, or the compressed process gas as discharged from the compressor.