A device for supplying oil under pressure to a linear actuator of a turbine engine, in which the actuator includes an internal fixed portion and an external movable portion and a regulating device for regulating and supplying oil to chambers of the actuator, is provided. The regulating device is mounted radially outside the movable portion of the actuator, and the fixed portion of the actuator includes on its upstream end portion oil passage channels of which the outlets open radially outwards. The device further includes an oil distribution ring which is mounted on the upstream end portion of the fixed portion and which includes internal conduits of which the inlets communicate with the outlets of the channels of the fixed portion and the outlets open axially downstream and are connected to the regulating device.