Hollywood Vampires, a Rock Supergroup Featuring Johnny Depp and Alice Cooper, Announces Tour Dates

Music fans will soon get the rare opportunity to see actor Johnny Depp jam onstage alongside rock legends Alice Cooper and Aerosmith’s Joe Perry. But be forewarned: It’s a very limited engagement.

Johnny Depp Performs with Alice Cooper in L.A.

Johnny Depp rocks!

The Lone Ranger actor joined Alice Cooper on stage at the Orpheum Theatre in Los Angeles on Thursday.

“Johnny was in great spirits,” a fellow concertgoer tells PEOPLE. “He was really happy and at ease, especially on stage with the rest of the band.”

During their performance, Depp and Cooper played several cover songs including The Doors’ “Break On Through (To the Other Side),” The Beatles’ “Revolution” and Jimi Hendrix’s “Foxy Lady.”

Neil Diamond, Alice Cooper Inducted into Rock and Roll Hall of Fame

Neil Diamond and rocker Alice Cooper at at the head of the class – the class of Rock and Roll Hall of Fame inductees for 2011.

The musicians were drafted into the estimable organization, it was announced Wednesday, along with Darlene Love, New Orleans-based singer Dr. John and gravely-voice singer-songwriter Tom Waits.