From what I was told, the movement was designed by Hublot in collaboration with LaJoux Perret, and is currently being manufactured by La Joux Perret.
I was also told that Hublot would have exclusivity on this movement for a certain period of time, so this could mean that is is a La Joux Perret movement afterall.
So far I haven't seen another watch with the movement, so it's definitely exclusive to Hublot.
There is some resemblance to the Arnold & Son TB88, also by La Joux Perret.