Can I have a beard transplant into a lip lift scar?

I (25M) had a bullhorn lip lift a year ago. The scar is a bit noticeable: it's white and large enough to be noticeable to others and to bother me. My idea to mask this is to get a small beard transplant from under the chin into this area. It would just add to the height of my mustache and isn't inside the nose or anything. Does this sound like a viable option?