Avril Lavigne -- In the Running for 'X Factor' Judge Job

With two judging slots to fill, it seems the folks at "X Factor" might not have to look far to fill one of the spots ... because former L.A. Reid protégé Avril Lavigne is interested in the gig ... TMZ has learned.

According to our sources, Avril had her people reach out to the folks at "X Factor" to let them know she'd like to be considered for the job. Our sources says Avril feels that since she came up in the biz at such a young age, she can mentor the kids on the show the right way.

We're told talks are already happening between the two sides.