The invention relates to a combing machine with an assembly (1), for the introduction of a fibre mass (2) to a combing device (12, 13), whereby the combing device combs the end (7) of the fibre mass which is alternately let in and clamped by the assembly, which is subsequently introduced into a draw-off device (5) which draws off a fibre packet (P) from the combed end and supplies the same to a subsequent device (T, Z), for the formation of a fibre fleece (V). According to the invention, a reciprocating motion of the conventional draw-off devices (5) and a simplification of known solutions may be achieved, whereby the device (T, Z) comprises a circulating means (T), provided with openings (35) around the circumference on the periphery (U) thereof for an air inlet and at least one partial region of the interior of the circulating means (T) is connected to a vacuum source (Q) and provided with a casing (46, 47), forming a chamber (AR), isolated from the environment, between the draw-offdevice (5) and the periphery (U) of the circulating means (T), whereby a partial region of the isolated chamber (AR) is formed by the periphery (U) of the means (T) and by the draw-off device (5).