The method consists of, when the instantaneous speed of the vehicle is greater than a pre-determined threshold: identifying that the vehicle travels in a straight line without torque exerted on the steering wheel if the prior condition is met, determining an average residual torque for the steering wheel by calculating a sliding scale of measures of torque on the steering wheel calculating a correction, if the average residual torque on the steering wheel is greater than a pre-determined minimum torque, which is proportional to the average residual torque to be applied to the torque measures on the steering wheel calculating effective correction limited in terms of the speed of variation and amplitude in relation to the correction applied to the measures of torque on the steering wheel, said corrected measures being subsequently treated by the electronic calculator in order to control the electronic booster motor.