The movie, to be written and directed by Peter Landesman, is based on an article and follows the forensic neuropathologist who discovered the existence of CTE (chronic traumatic encephalopathy) in a professional football player, reported Digital Spy.
The Ridley Scott-produced film will see Bennet stuck between his ethical obligations as a doctor and the harsh realities of the NFL.
Smith, 45, recently dropped out of starring in Legendary Entertainment's Brilliance.
The actor was tipped to appear in the sci-fi adaptation, but has bowed out due to scheduling constraints.