Abstract: A method for avoiding ribbon windings in producing cross-wound bobbins at the workstations of textile machines in the “random winding” type of winding, by changing the traversing speed at which the thread is wound onto the bobbin. Each workstation has a single motor drive activated for the rotation of the cross-wound bobbin, and a single motor drive activated for a traversing thread guide. The diameters (DSP k) of the bobbin (8) which are critical with regarding to the development of ribbon windings depending on the width (BSp) of the bobbin (8) and a cross-winding angle (?) are determined, and, shortly before reaching each critical diameter (DSP k), the cross-winding angle (?) is changed to a value (?1), which avoids development of ribbon windings in this diameter region, and the cross-winding angle (?1) is reset to its original value (?) after the critical diameter (DSP k) has been passed.