Method and unit for recycling a bituminous membrane provided with at least one reinforcement, which membrane is reduced to pieces which are introduced into a recycling unit, provided with a first rotor, housed in a first stator, and where they are heated and ground, said pieces being conveyed into a chamber, delimited by an external wall of the first rotor and a recess arranged in a counter-element mounted on the stator, where they are subjected to a trituration, the pieces thus triturated then being discharged from the chamber by flowing along said external wall of the rotor.