A winder including a frame including at least one spindle configured to support at least one cake, the spindle able to rotate about a first axis approximately perpendicular to the diameter of the cake, and at least one crosswinding device configured to deposit at least one strand on the spindle with a first traversing movement. The strand is further deposited on the spindle by a follower with a second traversing movement. The follower includes a control device for controlling the second traversing movement.