Abstract: The apparatus is intended for use in conjunction with a rotary feeder having a stack magazine which contains packs of tube sections. The apparatus comprises pressure applying means acting on the tube sections, particularly in the form of laterally pivotally movable pressure-applying fingers, which bear on the uppermost pack of tube sections and are adapted to descend as the stack decreases in height. Actuating means are provided, which when the pressure-applying fingers have reached a position in which they are at a minimum distance from the suction rollers of the rotary feeder impart an outward pivotal movement to said pressure-applying fingers, raise them to an extent which corresponds to the height of the subsequently supplied pack or packs of tube sections, and cause the pressure-applying fingers to bear on said pack or packs. The pressure-applying fingers are removed from the stack in the plane of the tube sections upon which they press.