A nearly invisible way to close a garment is to use a thread bar instead of a metal eyelet.
Double up your thread, begin from the back to hide the knot, make a stitch in the desired width of your bar. Repeat till you have four threads, loose the threads a little bit to get a nice result.
Overcast the threads with a narrow buttonhole stitch, at the end stitch through to the back side and secure your thread with some stitches.