The present invention relates to a process for lubricating an aircraft engine, and preferably a turboreactor engine, comprising at least one shaft (2), in which the pressurization of oil taken from a reservoir (3), the distribution of the oil via a downstream circuit (5) to elements (6) of said engine, and the return of the oil via an upstream circuit (7) to the reservoir (3) are ensured by means of a pump (1, 15, 17), the rotational speed of said pump (1, 15, 17) being variable and adjustable, characterized in that this rotational speed of said pump (1, 15, 17) is preferably regulated by a predetermined law in order to adapt to the actual lubrication needs of said engine.