Fox had no further comment.
David O. Russell indicated earlier this year that he was looking to cast Lawrence as inventor-entrepreneur Joy Mangano. Lawrence said last month on "Live With Kelly and Michael" that she was interested in the project.
Russell directed Lawrence in "Silver Linings Playbook" and "American Hustle."
John Davis and John Fox are producing for Fox-based Davis Entertainment along with Ken Mok. The script has been written by "Bridesmaids" co-scribe Annie Mumolo.
Mangano, who invented the Miracle Mop and Huggable Hangers, is the president of Ingenious Designs and appears regularly on the Home Shopping Network.
Lawrence has been shooting the "Mockingjay" movies in Atlanta and Europe.
"Joy" is the third title to be dated for Christmas, 2015, following Paramount's "Mission: Impossible 5" and Fox/DreamWorks' "KungFu Panda 3."