Jones was injured while playing for the Florida Panthers against the New York Rangers at the Winter Classic earlier this month, and the 31-year-old has been ruled out of the Games.
LaCombe was part of the U.S. team which won gold at last year's World Championship, and the 25-year-old has 31 points from 49 games this season in the NHL.
NHL players are back at the Games for the first time since 2014, with the US looking for its first men's hockey gold since the 'Miracle on Ice' at the 1980 Lake Placid Games.
The men's ice hockey tournament at Milano Cortina runs from February 11 to 22, with the US facing Latvia in their opening match on February 12. They will also take on Denmark and Germany in Group C.