A steering column sleeve includes (i) a translationally movable outer tube and inner tube, and (ii) an adjusting system for adjusting the relative position of the tubes. The adjusting system includes a screw for adjusting the axial position of the two elements. The adjusting system further includes an adjusting device for adjusting a resistance force opposing the relative movement between the tubes. The adjusting device has a friction pad and a clamping surface against which the friction pad moves between operating and adjustment positions. The adjusting system also includes a kinematic chain so that, beyond a threshold resistance torque transmitted by the screw to a single motor that it drives, its torque is transmitted to the adjusting device so as to move the friction pad from its operating position to its adjustment position.