A system for compensating for the stresses applied to a bearing that rotatably supports a rotor shaft of a rotating machine relative to a stator of the machine. The system provides at least one sensor for measuring an input signal positioned on an element of the bearing, a module for acquiring the input signal configured to convert the input signal into a value of the deformation applied to the rolling bearing, a module for determining a compensation signal as a function of the deformation value, and an amplifier module configured to control a magnetic actuator rotatably supporting the shaft of the rotor and including at least one electromagnet, the amplifier module being configured to convert the compensation signal into a voltage signal transmitted to the electromagnet of the magnetic actuator, the magnetic actuator being configured to exert a force on the rotor shaft as a function of the voltage signal.