Shortening st stitch strap?

I made a purse with a satinette stitch strap that stretched waaaaaayy too long. I fastened it really well into the purse so it would be next to impossible to unweave it. Can I put my needles into the rows, cut the strap and unweave it to that point, then reconnect the shorter strap pieces with Kitchener stitch? It seems like it would work, but I am not sure if I am missing some crucial point here!
Thanks for the help - this site is the best!

That sounds like a great solution!

I’ve done it - it’s a great solution!!