I was doing the ironing today and one of the items I ironed was a black linen top that I bought in Melbourne when we were on holidays in December.

I noticed that there seemed to be a small segment of frayed fabric on the bottom edge.  On closer inspection I discovered that that bottom has a facing rather than a turned hem and the fabric had been trimmed too close to the stitching leaving next to no seam allowance.

Thanks to my spreadsheet tracking what I wear, I know that I have worn it 4 times.  This is not a $5 top and I am really disappointed that this has happened.

I could toss it in the bag to go to the op shop but I have decided to take responsibility and mend it.

My first thought was to align the edges and zig zag it together using a fairly short stitch.  This would be far from invisible but fairly effective.  The section in question is on the bottom edge at the back of the garment.  Alternatively, I could unpick the topstitching to access the section from the inside and restitch it.  My concern with this approach is that it could create a noticeable dip in the edge.

How would you approach this mending task?