Alice,
If your TSI disappear and if that does improve the levels of antibodies that are causing the eye disease, which may be separate antibodies (they don’t completely understand the relationship), then it will depend on whether the swelling in or around your eyelids is swelling related to an active process, or whether it’s caused more by actual fatty deposits and scarring caused by a disease process that’s for the most part already run its course.
Your ophthalmologist, if he’s experienced with Graves’ patients, may be able to make an educated guess about this, but otherwise you’re probably going to have to wait and see what happens. Most people do see some improvement, especially if it’s mild, but few see a total resolution.