A device for transferring nonwoven material from a fleece-laying machine to a consolidation device having an endless circulating output conveyor belt of the fleece-laying machine for accepting card webs which are laid on the output conveyor belt from above by the fleece-laying machine, the laid card webs forming the nonwoven material. A first drive unit drives the output conveyor belt at variable speed. In addition, a second drive unit for driving the output conveyor belt at an essentially constant speed is provided at a point which, relative to the first drive unit, is closer to the consolidation device. A hanging storage buffer of the output conveyor belt is thus formed in a section of the output conveyor belt located between the first drive unit and the second drive unit.