near the pair of supporting disks 4 in proximity of the free end 111 of the rotor shaft only one supporting disk of the pair is shown in the drawing the spinning rotor 12 is driven over the tangential belt 5 the aerostatic axial bearing 6 upon which the rotor shaft 11 bears axially is provided with a connection 62 which is supplied with compressed air via the axial bearing according to the invention the open end spinning device is provided with a support 9 which is attached to component 31 via a holding device 61 this component 31 is in turn connected to the pillow block 3 and bears upon it the support 9 is made approximately in the form of a half cup and surrounds the rotor shaft 11 without touching it during normal operation of the open end spinning device although a support according to the invention can also be designed so that it does touch the rotor during operation a support which does not touch the rotor in normal operation is sufficient and requires less energy the support 9 limits tendencies of the rotor to tilt around its point of support on the forward supporting disk pair to such an extent that the axial bearing is not damaged and is not subjected to any increased stress the distance between the two pairs of supporting disks is shown to be relatively great in fig1 for.