Jones, 25, was injured in Saturday's 2-1 loss to the Avalanche, the Blue Jackets' first loss in 10 games. He scored Columbus' lone goal and has six tallies and 24 assists on the season. He was an All-Star this season.
Jones, who leads the Blue Jackets in ice time at 25:17, was put on injured reserve.
Columbus lost stars Artemi Panarin, Sergei Bobrovsky and Matt Duchene from last season and were not expected to match the success of that team, which upset the top-seeded Lightning in the playoffs. But the Blue Jackets are currently third in the tough Metropolitan Division with 69 points.