Abstract: Machine for overwrapping baggage (4) suitable for any mode of transport, in particular air travel, and successively comprising, upstream to downstream, a baggage arrival station (1) having an upstream entry conveyor (6) on which the baggage (4) to be wrapped is placed flat and a station (2) for forming a protective tubular enclosure of shrinkable thermo-plastic material over each baggage. The machine comprises an intermediate conveyor (7) for the enclosing operation and a shrinking tunnel oven (3) through which a downstream conveyor (8) extends, the endless conveyors (6, 7, 8) extending horizontally and being aligned and driven in the same direction, to enable the baggage to be fully wrapped at the outlet of the oven (3) after shrinkage of the plastic material.