An apparatus on a textile machine for cleaning fibre material has a first roller for conveying a fibre web, and second and third rollers which have respective nips with one another and with the first roller on rotation of the three rollers. The second roller is arranged downstream of third roller and so co-operates with the first roller that fibre is opened and detached, the fibre is transferred to the nip with the third roller and is conveyed by the third roller to the nip with the first roller, where it is transferred back to the first roller. To improve the degree of cleaning upstream of the second roller and third there is arranged at least one fixed carding element in which the teeth of the clothing are inclined opposite to the direction of rotation of the first roller.