EA owns the rights to The Neverhood, and has decided not to move forward with any sort of licensing or re-release despite being contacted by the original creators of that game. As such, there will be no overt ties to The Neverhood in Armikrog.
That said, I have played the beta, and I can confirm that there are some subtle references to The Neverhood. Plus, Mike Dietz and Ed Schofield are the artistic geniuses behind both games, so you're guaranteed to have a very Neverhood-esque experience. Armikrog is a "spiritual successor," really. The way I look at it, both games likely exist in the same universe.