The Charlatans frontman recorded with Phoenix for a guitar-based LP but later suggested that the sessions had been scrapped in favour of the actor's rap project.
Talking about his involvement, Burgess told DS: "I got a phonecall from a friend of mine saying that this actor is doing a record - kind of a secret thing, will you meet me at [Thai restaurant] Toi On Sunset?
"So we drove up the Hollywood Hills and got there and it was Joaquin Phoneix and Antony Langdon, who's the bassplayer from Spacehog. Antony was doing a solo record and Joaquin was producing it. They got me there because Joaquin is obsessed by Britpop, and I was there as the pacemaker - that's what they called me!"
He added: "I went there every day for two weeks and ended up singing backing vocals on the whole lot. The next time I heard - because it was quite erratic sessions and it was quite mental - six months later I'm completely off the record, and they've re-recorded it all again.
"I thought, 'Alright, that's the last I'm going to hear about that, but it was fun'. The next thing I know, Joaquin's doing a hip-hop record, and my backing vocals are all over that - the same ones or various ones I did on Anthony's record. So as far as I know, it's on, but I've never heard it."
Describing the original sessions, Burgess said: "It was acoustic but with a kind of Bowie vibe, with Britpop in there as well. That was the kind of flavour really, but really dark, confessional lyrics, which is Joaquin's life. But without knowing it I'm probably going to be on a hip hop album that I've never heard!"