The album includes seven stylistically diverse tracks recorded with collaborators including Thomas Bartlett and Wilco's Jeff Tweedy.
Jones and Tweedy previously collaborated on 'A Song With No Name', released by Blue Note in September.
Other celebrities involved are Steve Buscemi, Ben Stiller, Jarvis Cocker and Jeff Tweedy.
This new track is the third in a series of singles Jones has released over the past few months.
Big Star will be honoured with the 21 April release of the multi-artist Thank You, Friends: Big Star's Third Live ... And More.
Yoko Ono, Ringo Starr, Keith Richards, Sting and Bruce Springsteen are among the major stars appearing in the video for the fundraising 'We Are Not Afraid.'