Cutting machine comprising a body (2) having two lateral, juxtaposed sides (3, 4) and a hood (5) mounted between the sides (3, 4) for delimiting a cutting chamber (29), the chamber (29) having a rear opening (20) for discharging the cut material. The cutting machine includes a rotor (11) that is rotatably supported in the chamber (29) between the sides (3, 4), an end element (13) supported between the sides (3, 4) at the rear opening (20) of the chamber (29), and a closure element (15) supported between the sides (3, 4). The closure element (15) and the end element (13) are mounted on the sides (3, 4) so as to be movable between a first position, in which the end element (13) is moved back from the rotor (11) and the closure element (15) is oriented in a position close to the end element (13) so as to close the opening (20), at least in part, in order to hold the cut material in the chamber (29) for longer, and a second position, in which the end element (13) is moved closer to the rotor (11) than in the firs
