DreamWorks is currently adapting the series of racing video games into a film and has named the John Carter star as their top choice to headline the potential franchise, according to Zap2it.
"I'm excited about getting back into the creative trenches with John and George Gatins and my partners at EA to bring to life an exhilarating script based on an epic video game that seems to have been made for the movies," Steven Spielberg said in a statement regarding the film.
"This is a big piece of business for DreamWorks and we are grateful to Frank Gibeau, Pat O'Brien, Kevin Maher and John and George for choosing us to deliver their goods."
Kitsch's team have said that the actor is considering the offer.
The former Friday Night Lights star was rumoured for the role of Finnick in The Hunger Games: Catching Fire, but has since shot down the reports.
Kitsch recently claimed that he will not make any more blockbuster films "for a while" after John Carter and Battleship were somewhat poorly received in critical and financial terms earlier this year.
Need for Speed is scheduled for a February 7, 2014 release.
Watch Taylor Kitsch discuss Battleship with Digital Spy below: