General manager Scott Howson also announced Tuesday that the club had assigned forward Alexandre Picard to its American Hockey League affiliate in Syracuse.
The 35-year-old Modin, a member of the Swedish Olympic team, missed the past six games after injuring his foot at Edmonton on Jan. 7. He earlier missed all but 14 games this season with a knee injury. He has one goal and one assist this season and 221 goals and 222 assists in 828 career NHL games.
The 24-year-old Picard, the eighth overall pick in the 2004 draft, was scoreless in nine games with the Blue Jackets this season and has two assists in 67 career games.