A method of impregnating a fiber texture of hollow shape, the method including introducing a first suspension containing a first powder of solid particles of ceramic or carbon material into an inside volume defined by an inside face of a fiber texture of hollow shape placed in a mold, an outer face of the fiber texture being presented facing a wall of the mold; and using the action of centrifugal force to impregnate the fiber texture with the first suspension by causing the mold to rotate and varying the speed of rotation of the mold during the impregnation of the texture with the first suspension.