Parise sustained bruising and swelling around his eye following a high stick from Washington's Tom Wilson during Tuesday's game. The 32-year-old Parise then fell into the knee of Capitals forward Jay Beagle before hitting the ice.
Parise needed assistance to the locker room and didn't return to the contest, which Washington won with a 5-4 decision. Wilson was given a four-minute, high-sticking penalty.
"His eye looks pretty black and blue, but he can see and he's fine as far as that goes," Boudreau said after Wednesday's practice.
Boudreau said that he doesn't expect Parise to play against the Ottawa Senators on Thursday and admitted he wouldn't be surprised if he sat out the weekend's contests against Nashville and Colorado, respectively.
Parise has collected 17 goals and 20 assists in 64 games this season. He has missed six games with a lower-body injury, three to illness and three due to the mumps.