A console of a tunnel for the passenger compartment of a vehicle has an outer structure that houses, in a fixed position, a glove compartment fitted with a hatch; the console has a wall, which is positioned outside of said compartment and is movable, in response to an action by the user, with respect to an upper surface of the structure, between a lowered position and a raised position, so as to project upwards with respect to this upper surface and define an outer compartment when located in the raised position.