A lubricating device for a linear rolling bearing which has a guide rail and a carriage that is longitudinally moveable on the guide rail and supported on the guide rail by rolling bodies. The rolling bodies are guided in longitudinal grooves along the guide rail, and the lubricating device is fastened to the carriage and lubricate the longitudinal grooves and/or the rolling bodies. The lubricating device also has lubricant supply ducts, which supply a lubricant to the longitudinal grooves and clear outlet openings in the region of the longitudinal grooves for transferring the lubricant to the longitudinal grooves. The lubricant supply ducts are covered by at least one absorbent repository element along the courses thereof in coverage areas. The repository element is designed and/or arranged to absorb lubricant in the coverage areas and to conduct it to the longitudinal grooves in parallel with the lubricant supply channels.