Producer Guru said the bulk of recording is complete and he's currently doing his best to get the rap superstars to "hurry up" in completing it.
He told Vibe.com: "Right now, I'm really trying to get Jay and Kanye to hurry up and finish this 'Watch The Throne' album because the world needs to hear it.
"It just needs little tweaks and things like that. But The Core of the album is finished. Kanye takes what contributing producers do and adds on to it and I think that's his genius."
One track from the album, 'H.A.M.', has already been released digitally, but fellow rapper Talib Kweli said the song is not representative of the overall album.
He said: "I think the most unexpected part is kind of out the way with 'H.A.M.' That was probably the last kind of track I was expecting to hear from Jay and Kanye, but they definitely have some tricks up their sleeves.
"And they have some types of songs that you would think they might have. They really did a good job at covering all aspects, from the songs I've heard."
In February it was reported Kanye and Jay took over a whole floor of the Mercer hotel in New York to lay down tracks for the album, and they also held recording sessions in England last year.
No release date for 'Watch The Throne' has been set yet.