In an apparatus for the fibre-sorting or fibre-selection of a fibre bundle comprising textile fibres, especially for combing, which is supplied by means of a supply device to a fibre-sorting device, especially a combing device, for removal of the combed fibre material at least one take-off device with a sliver-forming element is present, downstream of which is a drafting system. To increase productivity and obtain an improved combed sliver, downstream of the supply device there are at least two rotatably mounted rollers rotating rapidly without interruption, which are provided with the clamping devices for the fibre bundle, and between the sliver-forming element and the drafting system at least one conveyor element for a formed combed sliver is present.