Abstract: A textile machine for processing sliver includes a plurality of work stations disposed side by side. Each of the work stations has a respective fixedly assigned parking place. Sliver cans are each disposed on a respective one of the parking places behind one another in at least two rows for supplying the work stations with sliver. An automatic can changer replaces any of the sliver cans that have become empty with filled sliver cans. A device monitors contents of the sliver cans and recognizes a sliver interruption when the sliver cans are still partly full. The work stations have sliver delivery devices and the work stations include given work stations. The sliver delivery devices of the given work stations each have a device for permitting sliver supply to a respective one of the given work stations only from a sliver can located on the fixedly assigned parking place of the respective one given work station.