Not totally sure, but you might be able to have that small area rewoven. Find a dry cleaners that does reweaving (they do it all the time on sweaters with moth holes, for example). They'll take a few threads from under a sleeve/under the bottom hem where they won't show, and use them to reweave the trouble spot. In your case, it's so small that the cost should be very modest.
8/9/14 at 5:05pm