The actor plays opposite the British star in the new movie adaptation of the stage musical, and the castmates have announced they'll perform together at Joe's Pub in New York City on 8 December (12).
Crowe's band, which features his Robin Hood co-star Alan Doyle, will perform two sets at the Manhattan venue and he will be joined by Barks, who rose to fame on British Tv talent show I'd Do Anything.
The Oscar-winner has also been trying to recruit another Les Miserables star for the shows - he has reached out to Hugh Jackman via Twitter.com to convince the actor to take part.
In a message aimed at Jackman, Crowe writes, "Hughbie Doobie, mate... son... playing 2 gigs Dec 8, Joe's Pub, you in?... Let me know..."