Abstract: The tubes to be conveyed to the pirn heads are stacked up within each other in columnar fashion, are held in readiness at a supply location and are separated to be taken away. The separated tube is brought into a conveying position and, while maintaining this conveying position, is transferred to a conveyor extending across all of the pirn heads of the machine. For this purpose a tube-conveying device is installed between a tube magazine (4) and a conveyor belt (2) extending alongside all of the pirn heads, containing means (51) to position the tube (50) into the conveying position and means (71, 6, 8) for the transfer of the tube (5) in its conveying position to the conveyor belt (2).