Parise, 30, was injured during Monday night's loss to the Pittsburgh Penguins and did not play during the third period.
The Wild have three straight road games upcoming against the Ottawa Senators, Montreal Canadiens and New Jersey Devils. He will not travel for the first two games, but the Wild will return to Minnesota before playing the Devils next Tuesday, according to Michael Russo of the Star Tribune.
Parise has four goals and six assists on the season and leads the Wild with 10 points.
The Wild have started this season 7-4-0 and are in fifth place in the Central Division. They play at the Senators on Thursday at 7:30 p.m.
- Paul Palladino