The surgery will take place next week and the Blue Jackets have already placed Skille on injured reserve.
In 45 games this season, Skille had six goals and two assists and averaged 12:31 of ice time. In his career, he has 30 goals and 31 assists.
Columbus claimed Skille off waivers from the New York Islanders in October.
The Blue Jackets (26-29-4) are currently in seventh place in the Metropolitan Division and host the Montreal Canadiens on Thursday.
- Molly Geary