The invention relates to a seat comprising: a squab, and a backrest provided with a headrest movable with respect to the backrest, said backrest being movable rotationally with respect to the squab and translationally with respect to at least one upright of a seat structure when the seat moves between a sitting position and a stretched-out position, a retraction device for the headrest comprising a return member arranged between the backrest and the upright and also a cable mechanically connected to the headrest, said retraction device being configured to allow a dead travel of the return member between the sitting position and a predefined intermediate position of the seat and then in order that the return member generates, on account of the relative translational movement of the backrest with respect to the upright, a pull on the cable causing the retraction of the headrest inside a receiving space provided in the backrest after consumption of the dead travel, between the intermediate position and the stretched-out position of the seat.