Lawson has had a turbulent year. She was recently accused of taking cocaine.
Jolie is said to think of Lawson as a "remarkable woman" and is reportedly totally gripped by the drama surrounding the latter's life, reports contactmusic.com.
"Angie had planned to take a lot of time off next year but this role is very tempting. She has been gripped like everyone else by all the drama surrounding Nigella these past few months and thinks she is a remarkable woman. The story has got it all - and she's as intrigued as anyone else by it," The Sun newspaper quoted a source as saying.
The 38-year-old has been seen in films like "Mr. & Mrs. Smith", "Wanted" and "Salt".