Directed by Peter Landesman, the film also stars Albert Brooks and Alec Baldwin, said the Hollywood Reporter.
The sports drama tells the controversial story of the doctors who proved the link between former NFL players affected by major neurological problems due to head injuries suffered during their careers and the NFL's denials of any such connection.
Concussion follows the story of Dr Bennet Omalu (Will Smith) who - after studying the brains of ex-pros such as Dave Duerson (Adewale Akinnuoye-Agbaje) and Andre Waters (Richard T. Jones) - discovers that they were suffering from chronic traumatic encephalopathy (CTE), a neuro-degenerative disease caused by repeated trauma to the head.