Paramount Pictures and JJ Abrams' production company, Bad Robot, are planning a film about the fallen sports hero, after securing the rights to New York Times reporter Juliet Macur's forthcoming book Cycle Of Lies: The Fall Of Lance Armstrong, due out in June.
Bradley publicly expressed interest in playing Armstrong in the movie during an interview with the BBC, and producer JJ has now told Entertainment Tonight: "He sent me an email and we've been talking."
Bradley told the BBC last week: "I would be interested in [playing Armstrong]. I think he's fascinating. What a fascinating character."
No director, writer, or start date has been set.
In a two-part interview with TV mogul Oprah Winfrey, Armstrong admitted using performance-enhancing drugs to reach his historic victories, after defiantly denying it for years.
The International Olympic Committee has stripped him of his 2000 bronze medal.