'Rodham' will follow the former Secretary of State through her younger years in 1974, when she was a lawyer in Washington.
Jessica Chastain and Amanda Seyfried are also being considered for the lead role, according to Digital Spy.
The project is scheduled to be released in time for the 2016 presidential election, where Clinton may be a candidate for the Democrats.
'Rodham' director James Ponsoldt said, "They're all wonderful actresses. We're very fortunate that a lot of really great actors are interested in playing these roles. We're in an enviable position.