The Dark Knight Rises actress is in line for the film alongside Chris Hemsworth, who is currently negotiating to star, according to The Hollywood Reporter.
Steven Spielberg's project has also added Tom Rothman - who departs his role at Fox Filmed Entertainment on January 1 - as producer.
"If you are in politics, you dream of a call from the White House, in baseball, from the Yankees, in movies, from Steven Spielberg," Rothman said in a statement.
"Robopocalypse is the kind of important epic entertainment, a big movie with big ideas, that Steven does better than any filmmaker on earth. I am honoured beyond measure that he asked for my help on it and fired up to do whatever I can for him, Stacey, the outstanding DreamWorks team, and all of my friends at Fox.
"I enjoyed the idea of being unemployed for a week, but this will be way more fun."
Based on Daniel H Wilson's 2011 book, the film follows the fate of mankind after a robot uprising.
Hathaway will next be seen in Les Misérables.
Robopocalypse is scheduled for release on April 25, 2014.