Cooper himself has confirmed in a post on his website.
"Alice Cooper and Johnny Depp have been partners for a while and now with Joe Perry also on Hollywood Vampires, they will 'rock it out' yet once again," Cooper wrote.
In the same post, the music star also revealed Hollywood Vampires already scored their debut gig with a scheduled performance at the 2015 Rock in Rio music festival which will be held in September in Rio de Janeiro, Brazil.
"Confirmed! #RockInRio announces Debut Of #TheHollywoodVampires! The #Supergroup, featuring #AliceCooper, #JohnnyDepp and #JoePerry plays on the same night as #QueensOfTheStoneAge and #SystemOfADown," Cooper posted on Instagram.
The Hollywood Vampires actually is the name of a famous band in the 70s. Cooper fronted the music act alongside the likes of John Lennon, Harry Nilsson, Keith Moon, and Ringo Starr.