Method for assisting the driving of a motor vehicle in the reversing phase, said vehicle comprising: - a calculation unit; - a digital rear-vision system having at least a first digital camera arranged to dynamically acquire images of the external environment at the rear of the vehicle, a computer configured to process the acquired images by the first digital camera, and a display screen arranged to restore to the driver of the vehicle images supplied by the computer and/or information relating to the external environment at the rear of the vehicle from the images acquired by the first digital camera; and, in addition - a driver vigilance control system having at least a second digital camera oriented towards the face of the driver to acquire eye tracking data relating to the driver, and further having means for deduce the orientation of the driver's gaze, said method comprising the following steps, executed by the calculation unit during a reversing maneuver of the vehicle: - determination of the orientation of the driver's gaze on the basis of eye tracking data relating to the driver, acquired dynamically by the second digital camera; And, - if the driver's gaze is oriented only in the direction of the display screen of the digital rear-vision system for a duration greater than a determined threshold duration (t th) during the reversing maneuver, display, on the digital rear-vision system display screen, a visual alert inviting the driver to use other sources of information relating to the outside environment at the rear of the vehicle; the calculation unit is also arranged to exchange data via an inter-vehicle communication system and in which, when the calculation unit receives, via the inter-vehicle communication system, information relating to the presence of an object in the external environment at the rear of the vehicle but outside the field of vision of the digital camera of the digital rear-view system, a corresponding visual alert is displayed on the screen of digital rear-view system display. - a calculation unit; - a digital rear-vision system having at least a first digital camera arranged to dynamically acquire images of the external environment at the rear of the vehicle, a computer configured to process the acquired images by the first digital camera, and a display screen arranged to restore to the driver of the vehicle images supplied by the computer and/or information relating to the external environment at the rear of the vehicle from the images acquired by the first digital camera; and, in addition - a driver vigilance control system having at least a second digital camera oriented towards the face of the driver to acquire eye tracking data relating to the driver, and further having means for deduce the orientation of the driver's gaze, - determination of the orientation of the driver's gaze on the basis of eye tracking data relating to the driver, acquired dynamically by the second digital camera; And, - if the driver's gaze is oriented only in the direction of the display screen of the digital rear-vision system for a duration greater than a determined threshold duration (t th) during the reversing maneuver, display, on the digital rear-vision system display screen, a visual alert inviting the driver to use other sources of information relating to the outside environment at the rear of the vehicle;