Cage for a rolling-contact bearing, having the following features: - a first and a second side ring , arranged in the circumferential direction; and - at least one guide surface , which is designed to guide the cage radially on a running surface of the rolling-contact bearing; and - a plurality of crosspieces , which connect the side rings , this resulting in the formation of a plurality of pockets for accommodating rolling-contact bodies ; wherein the crosspieces are arranged on a diameter other than a pitch diameter of the rolling-contact bearing, wherein the rolling-contact bearing is a cylindrical roller bearing; characterized in that the cage is not self-retaining, wherein, in the case of an outer-ring-guided cage, an internal diameter of the crosspiece is greater than the pitch diameter of the rolling-contact bearing and, in the case of an inner-ring-guided cage, an external diameter of the crosspiece is smaller than the pitch diameter of the rolling-contact bearing; and - at least one recess in the guide surface , wherein the recess does not penetrate the cage in the radial direction and, in the axial direction, extends over a width (B) of the cage , at least in part, from an axial end edge of the side ring , it therefore being possible for lubricant to flow along the recess onto the pockets , - the cage and a material of cage are formed such that, in all normal operating states, the rolling-contact bodies are not quite in contact, - the at least one recess is arranged in the region of the crosspieces , - outside the at least one recess , a surface of the side rings is designed in the form of a guide surface , and - in a region of the crosspiece , the recess has a width (b) which corresponds to a width of the crosspiece . - a first and a second side ring , arranged in the circumferential direction; and - at least one guide surface , which is designed to guide the cage radially on a running surface of the rolling-contact bearing; and - a plurality of crosspieces , which connect the side rings , this resulting in the formation of a plurality of pockets for accommodating rolling-contact bodies ; wherein the crosspieces are arranged on a diameter other than a pitch diameter of the rolling-contact bearing, wherein the rolling-contact bearing is a cylindrical roller bearing; characterized in that the cage is not self-retaining, wherein, in the case of an outer-ring-guided cage, an internal diameter of the crosspiece is greater than the pitch diameter of the rolling-contact bearing and, in the case of an inner-ring-guided cage, an external diameter of the crosspiece is smaller than the pitch diameter of the rolling-contact bearing; and - at least one recess in the guide surface , wherein the recess does not penetrate the cage in the radial direction and, in the axial direction, extends over a width (B) of the cage , at least in part, from an axial end edge of the side ring , it therefore being possible for lubricant to flow along the recess onto the pockets , - the cage and a material of cage are formed such that, in all normal operating states, the rolling-contact bodies are not quite in contact, - the at least one recess is arranged in the region of the crosspieces , - outside the at least one recess , a surface of the side rings is designed in the form of a guide surface , and - in a region of the crosspiece , the recess has a width (b) which corresponds to a width of the crosspiece . <EOS>