PURPOSE: To provide an apparatus which makes it possible to support a can in particular and the textile material projecting from the can, makes it possible to easily discharge the remaining of the slivers existing in the can.

CONSTITUTION: Machines to produce the slivers, for example, cards 1, 2, 3, 4 and 5, and a machine to consume the slivers, for example, a can transporting carriage passes a can discharging means 10 between a drawframe 6. The can transporting carriage 9 has two supporting walls 12 connected by a transverse beam 13. The transverse beam 13 has a through-hole 14 and the can 8 is arranged below this through-hole. The can transporting carriage 9 is so position that a suction means is interlocked from above to the hole 14 in the discharging means 10.