Abstract: A lubricant pump having a housing equipped with outlets and a lubricant chamber, and having a piston axially displaceable in an axial cylinder bore in the housing by means of an electrical drive arrangement. The piston is at a first end and has an axial outlet. A first portion of the axial outlet is connected to a through-opening arranged radially on the piston position and adapted in a predetermined piston position to connect the axial outlet to a predetermined outlet of the outlets. A second portion of the axial outlet of the piston is connected to the lubricant chamber by way of an inlet and a non-return valve to allow the bore to be filled with lubricant. The outlets are arranged essentially in succession to one another. The position sensor is adapted to signal the position of the piston in the event the piston stops.