The invention relates to a method to manufacture electric power steering systems (10). First, an electric motor (20) having a drive shaft (24), a coupling device (26), and a worm gear (12) having a worm shaft (16) are provided. Then, an adjusting sleeve is provided, and an individual axial position of each adjusting sleeve in its associated opening is determined in order to achieve a specific axial preloading force on the worm shaft. The adjusting sleeve (34) is press-fitted into the axial opening (32) in the determined axial position, and a spring element (44) is installed in the adjusting sleeve (34) so that the spring element is supported on one end axially on the drive shaft and on its other end it is supported axially on the adjusting sleeve (34), and said spring element acts upon theworm shaft with the preloading force in the axial direction via the adjusting sleeve. In addition, also described is an electric power steering system.