The 'RIP' singer is said to be linked with a part originally intended for Rihanna, reports The Sun.
Rihanna allegedly agreed a deal to play a villain in the action sequel starring Vin Diesel and Dwayne Johnson earlier this year. However, she is said to have cancelled her plans due to her busy schedule.
A source said: "Rihanna impressed movie bosses with her role in Battleship. But schedules didn't work out and Rita really shone during castings. They loved her look and her attitude."
Earlier this year, Rita Ora described comparisons to Rihanna as a big "compliment".
Paul Walker and Jordana Brewster will also return for the sixth instalment of the action franchise in 2013.
Vin Diesel tweeted two new photos from the set of the new film last week.
Watch Dwayne Johnson discuss Fast and Furious 6 below: