A spindle for a machine-tool, especially an engine spindle, includes a housing for receiving an electric engine, a shaft received in bearing elements and driven by the electric engine, and especially a tool receiving element for a tool for machining workpieces, at least one bearing element including a capillary feeding line for supplying lubricant via a pump element. A bearing element for one such spindle includes at least one recess for receiving a capillary feeding line for supplying lubricant via a pump element. A method for operating one such spindle for a machine-tool carries out a temporal and/or quantitative dosing of lubricant according to the evaluation of a sensor element, in order to sufficiently lubricate at least one bearing element.