A scroll-type refrigerant compressor includes a drive shaft with an off-axis lubrication conduit which is supplied with oil from an oil pan located in the lower part of the compressor by an oil pump that is disposed at a first end of the shaft. The lubrication conduit has lubrication holes at the different shaft guide bearings. The second end of the shaft is equipped with a device that enables the orbital movement of the moving scroll of the compressor. The aforementioned shaft also includes a return conduit which is inclined in relation to the axis of the shaft and which extends over at least part of the length thereof. One of the ends of the return conduit opens at the wall of the shaft in the area located beyond the rotor on the side of the oil pan. In addition, fluid communication is provided between the lubrication conduit and the return conduit.