are all species immortal in valinor

[zifnab]

Are all the animals immortal in Valinor also? Huan the chief of the wolfhounds, was born in the Blessed Realm. I believe that Orome gave him to Celegorm and had followed his master into Middle-Earth. I think that Huan would only die after he encountered the mightiest wolf in the world(but he would die). Now my question is if he had lived in Valinor the whole time, would he also be immortal.