The pair stars in upcoming film The Tourist. They were supposed to film a raunchy scene where Depp caresses a naked Jolie in the shower, but the scene was axed after Paradis complained about the sexual content.
It is also believed that the 37-year-old felt threatened by Jolie, who plays an Interpol agent seduced by a tourist (Depp) in the movie.
A source told The Daily Mail, 'She put pressure on Johnny and finally he said he wanted the shower scene out. He told the producers it cheapened the movie and I am assured that his wishes are being honoured.'
'Angelina comes with a reputation. She stole Brad Pitt from Jennifer Aniston when they were shooting Mr & Mrs Smith together,' the source added.
The Tourist opens in US and UK cinemas on December 10.