A dispensing unit includes an outer front wall, two outer side walls, a housing for holding a pile of a continuous length of accordion-like folded web of towels of tissue paper or nonwoven including bundles, the outer front wall having an access opening to the pile, a dispensing opening for the web of towels and a feeding mechanism including a member for controlling the dispensing of the web of towels, a drive unit and a braking arrangement for the web of towels. A unit of consumable articles includes the pile of bundles with connecting elements therebetween, which are inserted through the access opening into the housing in the dispensing unit and added to the bottom of the pile. The web of towels is dispensed from the upper part of the pile by a feeding mechanism, which positions the web of towels in a starting mode in the dispensing opening.