"I would be honored [to play the role]," she has said. "But we haven't gotten the script yet."
Jolie also is being considered for the role of Cleopatra, famously played by Elizabeth Taylor in 1963.
The Oscar-winning actress, 35, is set to play Marilyn Monroe in the movie version of The Life and Opinions of Maf the Dog, author Andrew O'Hagan tells the London Telegraph.
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According to the Telegraph, "The Life and Opinions of Maf the Dog, and of His Friend Marilyn Monroe follows Monroe's last two years through the eyes of her pet, Maf,Juicy Couture, a Maltese terrier which was a gift from Sinatra in 1960.
Do blondes really have more fun?
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An official announcement has not been made.
George Clooney will play Frank Sinatra.
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Angelina Jolie may soon find out.