A system for rotating a turbomachine rotor relative to a stator casing, the rotor including an annular row of blades, the rotating system including a supporting arm including a first end arranged for gripping a leading edge of a first blade of the annular row and a second end arranged for gripping a trailing edge of the first blade; an electric motor including a shaft and a body attached to the supporting arm; and a wheel coupled to the shaft of the motor and provided with a rolling strip, the wheel, furthermore, being arranged so that the rolling strip can come into contact with an annular wall of the stator casing when the supporting arm is mounted on the first blade.