Abstract: A drafting apparatus for roving or sliver, designed for high speed pneumatic spinning machines. The drafting apparatus comprises inlet and outlet drawing pairs of rollers as well as pair of endless aprons. The upper drawing roller of the outgoing drawing pair of rollers is offset angularly about the axis of the lower drawing roller, towards the closest pair of endless aprons. The angle of offset of the upper drawing roller is from 15.degree. up to 65.degree.. The advantage of the drawing apparatus according to the invention is that impairment of the roving by the air flow around the outgoing pair of drawing rollers is avoided because of the offset of the upper drawing roller about the axis of the lower drawing roller towards the drawing aprons.