A method of assembling a compressor, including assembling, first as a subassembly external of the compressor housing, portions of the motor-compressor unit, including a crankcase, mount brackets, stator, outboard bearing assembly, and drive shaft. Thereafter, the motor-compressor unit subassembly is inserted into a first end of the housing, and the housing is shrink-fit around the subassembly. The mount brackets may then be welded to the interior surface of the housing. Once the mount brackets are welded to the housing, the remainder of the components of the motor-compressor unit, including the orbiting scroll member, the Oldham coupling, and the fixed scroll member, are then assembled to the motor-compressor unit subassembly and the housing through a second end of the housing opposite the first end, followed by welding the top and bottom caps to the housing.