The band - made up of Rolling Stones frontman Jagger, Eurythmics mastermind Dave Stewart, soul singer Joss Stone, reggae artist Damian Marley and soundtrack composer AR Rahman - revealed that their currently-untitled debut record will be released on September 20.
All five artists gathered for a private hearing with press in Los Angeles last week to discuss the project, says The Hollywood Reporter.
Jagger told a group of journalists that the project began with "ideas, a few guitar riffs and a few snippets of lyrics".
He then added: "It's not my usual sort of way of working. You always want to leave some room for improvisation, but you need to have something, some songs, when you walk into the studio.
Stewart admitted that the group recorded 29 tracks in 10 days, stating that "some are an hour and ten minutes long".
SuperHeavy's debut single has been confirmed as 'Miracle Worker', with the group filming a video for the track last Wednesday.
Stone recently insisted that she is okay after a recent alleged violent robbery plot against her was foiled just hours before its execution.
Stone will release her new solo album LP1 on July 26.
Watch a teaser for the album below: