Aniston, 35, is said to be spending most of her free time with Cassel, imdb.com quoted a report in British newspaper Daily Star as saying.
The "Irreversible" actor also co-starred with Pitt in 2004's "Ocean's Twelve". Aniston and Cassel, 38, became close while filming their latest movie on location in Chicago and London. Reports suggest the relationship has continued in Los Angeles, where post-production work on "Derailed" continues.
"There's real chemistry between them. When they're together they speak almost in whispers, with eye contact all the time.
"If pressed, she'll tell you that Vincent is very close and very dear to her. But he seems much more than an agony uncle," the Daily Star quoted a source as saying.