The 37-year-old 'Tomb Raider' star and Fanning apparently struck up a friendship while working together on the set of new movie 'Maleficent', reported Showbizspy.
"They became firm friends on the set of Maleficent and Angie has decided to take Elle under the wing.
"In this film, Elle really comes into her own, and they are looking for another project to develop together," a source said.
Jolie recently gifted a raunchy coffee table book to partner Brad Pitt this Valentine's Day.