EA Sports has suggested that the football franchise could be "invited" when asked if it could release day one on the new Nintendo console, according to Eurogamer.
"FIFA has the great fortune of being invited to all the VIP parties," said senior vice president Andrew Wilson.
The controller's touch-screen could be used to display on-screen elements such as the radar, or used for tactical play or menu screens.
"This concept of cleaning up everything you see on the big screen and putting all that here [on the controller screen], is an interesting proposition," said Wilson.
Watch the FIFA 12 Impact Engine trailer below:
"The radar can go there. You could trigger wing play. You could play an offside trap here. There are a whole bunch of things you could do here that before, you had to remember a two-button combination or a d-pad combination, or you had to see it represented up on a screen, which meant if anyone else was watching they saw it."
He added: "I'm sure we're going to do more than that, but as the lowest common denominator, that would be pretty cool. That would change the way I play."
At Nintendo's E3 press conference yesterday, Electronic Arts CEO John Ricattelo said that there was a "breakthrough" in the relationship between the companies thanks to the Wii U.
FIFA 12 will be available on consoles, handhelds and PC in October this year. It was recently revealed to retail at a higher price point of £54.99.
More Wii U coverage:
> Wii U announced as new Nintendo console
> Wii U pictures: Nintendo's new controller
> Wii U technical specifications released
> Super Smash Bros. coming to Wii U, 3DS
> Assassin's Creed, Ghost Recon for Wii U
> E3 2011: Nintendo Conference live blog
Watch the Wii U reveal trailer below: