If you happen to have a spindle that a stack of CD's came on, and the cover with a hole in it, you can put the binding, wrapped around a TP roll, on the spindle and feed it through the top. If the cover is too short, you can cut your TP core shorter. It will still hold quite a lot of binding. You may have to cut a hole in the top using a craft knife, and in that case, it's easier to cut a rectangle, and I'd put it on one side rather than in the middle of the cover.