A contact roller system of a winding machine for thin strip material has a shaft and pivot levers arranged in a row adjacent to one another on the shaft. The pivot levers have two contact roller segments moveable against slit rolls during a winding process by an actuating drive of the pivot levers. The two contact rollers are arranged on opposite sides of the pivot levers, respectively, and form a contact roller segment pair positioned adjacent to one another such that between neighboring end faces a gap required for rotational movement of the contact roller segment pairs is formed. The contact roller segment pairs are freely rotatably supported and rotate about an axis of rotation extending parallel to the pivot axis of the pivot levers. The axes of rotation of the contact roller segment pairs have a common pivot radius.