A lubricant pump includes a housing in which at least one pair of intermeshing gear wheels is arranged for conveying lubricant. One gear wheel is rotatably supported on a drive shaft and the other gear wheel is rotatably supported on an axially shiftable displacement unit for adjusting a variable flow volume. Axially displaceable in a housing receptacle is a control piston for hydraulically adjusting the position of the displacement unit. The control piston is configured as composite structural part and has a central longitudinal shaft and cylinder rings which include control edges for clearing or closing control channels feeding into the receptacle. The cylinder rings are made from a material which reduces friction and/or wear with respect to the receptacle, and the central longitudinal shaft has at least one section made from a material having a coefficient of thermal expansion at least substantially corresponding to the one of the receptacle.