Jones worked out with the athletic performance staff prior to the decision, going through a ladder drill before exiting the field. He also participated in the Falcons' Saturday walk-through, an indication he had every intention to play.
Jones is nursing a painful oblique strain that affects his core from his ribcage to his hip and pelvic region, sources told ESPN's Chris Mortensen. The team initially called it simply a hip injury.
Sunday is a must-win scenario for the Falcons (5-9), who would be eliminated from the NFC South title hunt with a loss.
Falcons coach Mike Smith also is fighting for his job, as a loss would mean failing to make the playoffs for two consecutive years after an appearance in the NFC Championship Game.