That should help.
Personally, I had an old NEF shotgun for awhile, and after a year or two of slugs and buckshot it shot itself loose. I disliked the way it felt after that, so it was my version of WECSOG to the rescue!!
I used a bit of AcraGlas Gel to build the stock up, then sanded it down and reinstalled the lug.
That sure tightened things up!
Best part of this method is, if you add too much gel and it becomes too tight, a few passes with the 80 grit and it is perfectly hand-fitted. And if it shoots loose later on, then just add another layer of epoxy and repeat.
Let us know how much it helps!