A razor, especially a safety razor, comprises a fluid delivery system including a pump (24) for conducting a fluid, such as a lubricant, from a reservoir (25) for application to the skin, and a control device (16) for actuating the pump (24) when the razor is brought into contact with the skin by a person holding the razor, and deactuating the pump (24) after a certain time of actuation, e.g. 0.1