A facility for heat-shrinking sleeves made of heat-shrinkable material inserted onto supports, such as containers, includes an enclosure provided with a heat-diffusion means, a conveyor for carrying the supports through the enclosure between an intake of the enclosure and an output of the enclosure, the enclosure including a base and a hood which is mounted mobile between an open position allowing access to the conveyor and an operational position in which said hood is sealingly mounted on the base, the hood comprising two openings through which the conveyor extends when the hood is in operational position. The hood comprises an inner partition mounted mobile between a retracted position and a service position in which the partition defines with the side walls of the hood and the base a main chamber of the enclosure subjected to the action of the heat-diffusion means when the hood is in operational position.