A light module for a motor vehicle comprises at least one light source capable of emitting light rays, a support bearing the light source, optical deflection elements arranged so as to deflect the light rays emitted by the light source to form a light beam projected at the output of the light module, and guiding elements for guiding the optical deflection elements in rotation about an axis of rotation, in order to shift the projected light beam transversely. According to the invention, the rotation guiding elements comprise a first guiding element borne by the support and configured to cooperate with a second guiding element borne by the optical deflection elements.