The Irish musician and his U2 band member The Edge are in discussions with show bosses to perform songs from their Broadway musical 'SPIDER-MAN: Turn Off the Dark' - and they are also hoping to get some of the performers from the theatre show on stage to join them at the grand finale, which is split over two episodes next week.
A source said: "They are talking to Fox about how it would work. Ideally, Bono and The Edge would perform and be joined on stage by the 'Spider-Man' cast.
"If everyone agrees, with millions watching, it could be great for the production."
However, nothing is yet to be finalised, and other acts are being considered to perform.
The source added to the New York Post newspaper: "It is still very preliminary conversations. 'American Idol' producers know they could get many top acts on the finale. It has to be what works best for the show."
Scotty McCreery and Lauren Alaina are in the final of the tenth season of 'American Idol' - which has seen both Jennifer Lopez and Steve Tyler join the judging panel on the show alongside Randy Jackson.