Compressor unit (12) of a compressor (10) for compressing refrigerant, comprising a drive device, particularly a drive shaft (24), for driving one or more pistons (14) that are arranged in a radial direction and that can be moved back and forth in extension and retraction movements in corresponding cylinder bores (16), wherein the drive device is in operative engagement with an eccentric (28) that controls the extension movement of the pistons (14), said eccentric (28) also controlling the retraction movement of the piston (14), the invention further relating to a corresponding compressor (10).