I recommend hand sewing a repair by stitching from side to side across and around the burn hole. Just run the needle through the tramp weave openings until they are all filled in around the hole (alternate every other stitch one weave opening farther in from the hole than the closest one)and it will probably end up stronger than the original and not take long to fix. You can probably find some thread close in color and material to the existing tramp locally (yellow pages) or via Google. It probably will be fine if left alone and certainly would not be worth having it fixed professionally.

Are you sure it did not happen on the last scorching sail?! ;-)

Mike