The 50-year-old actor, who is yet to set a date for the nuptials, has apparently asked his friend and the band's guitarist Keith Richards to play at the couple's wedding, reported Contactmusic.
"The wedding plans are at an early stage. But the one thing Johnny does know is he wants Keith and the guys there. He might even ask to join them on a track or two," a source said.
Depp, who met Heard, 27, on the set of their film 'The Rum Diary' in 2011 reportedly proposed to her on the Christmas Eve last year.