The three actresses are in the running for the female lead role with Knightley as the frontrunner, reports Deadline.
The role is said to have the option of three movies.
The reboot franchise is based off the CIA analyst character in Tom Clancy's novels, spawning four previous films.
Chris Pine is still attached to star as Jack Ryan, who has previously been portrayed by Alec Baldwin, Harrison Ford and Ben Affleck.
Sir Kenneth Branagh, who appeared in the London 2012 opening ceremony, is attached to direct the project and play a villain.
Total Recall co-stars Kate Beckinsale and Jessica Biel apparently tried out for the female lead role, but are believed to be out of the running.
Knightley can be seen next in the film adaptation of Leo Tolstoy's classic novel Anna Karenina with Jude Law and Aaron Taylor-Johnson.
Anna Karenina will arrive to theaters on September 7 in the UK, and November 9 in the US.
Watch the trailer for Anna Karenina below: