The rapper asked the guitarist to work on The Evolution of Man after meeting him backstage at a recent gig.
"It was funny, I think Graham only realised who I was because his son asked for a picture. If you don't ask you don't get, so I said I'd love to work with him," Example told The Sun.
"He said he was game and invited me over to his house. The track we've produced is something to be proud of."
Example previously revealed that his new album, which is due out on November 18, will include "a bit more rock music".
He has announced an extensive arena tour for 2013, while new single 'Say Nothing' comes out on September 16.
Watch the video for 'Say Nothing' below: