Campbell will meet with team physicians on Monday, and the Hawks plan to make an official announcement on Tuesday.
Campbell was checked by Alex Ovechkin into the end boards behind the Hawks' goal with 7:44 remaining in the first period. Campbell remained on the ice for several minutes as trainers attended to him before leaving.
Ovechkin was given a five-minute major for boarding in addition to the game misconduct. A game misconduct penalty automatically incurs a fine and further review by the commissioner's office for possible suspension.
On Monday, Ovechkin met with the NHL and was suspended for two games.
After the game, Hawks coach Joel Quenneville said, "[Campbell] is going to be out for a bit. It was a tough hit, a dangerous hit."
Ovechkin didn't see anything illicit in the hit.
"It was not a hard hit," he said. "I just wanted to push him. It's just a moment in the game. I don't think it has to be five minutes or something like that. I just felt bad."
On Dec. 1, Ovechkin was suspended for two games without pay by the NHL for a knee-to-knee hit on Carolina defenseman Tim Gleason.
"The knee [suspension from Dec. 1] does not apply as he was suspended for that," NHL head disciplinarian Colin Campbell said Sunday. "If you get two boarding game-misconduct penalties, you get an automatic suspension if 41 games have not lapsed. In [Ovechkin's] case, 41 games have lapsed since his last boarding [game misconduct], so he is not suspended automatically."
The NHL still reviewed the incident, though, and Ovechkin was still subject to supplemental discipline.
Campbell's teammates were vocal about the hit, starting with Niklas Hjalmarsson.
"I thought it was a late hit," Hjalmarsson said. "I hope the league will take a good look at that. That's a situation where you really hurt yourself. I hope they take a good look at that and suspend him for a couple of games."
Said Hawks captain Jonathan Toews: "We're hoping for the best with Brian. There's so much of that stuff [head injuries] going on now, it's pretty frustrating the players don't take a stand against something like that and say, 'You know what, we have to respect ourselves a little bit more,' and know it's not all about the flashy hit. You have to know when there's a dangerous situation and you can really hurt somebody and be smarter about it."
The Hawks were already down two players who played against the Philadelphia Flyers on Saturday. Marian Hossa missed Sunday's game with an upper body injury and was declared day to day by Quenneville. He will accompany the team on the road trip. Kim Johnsson also has an upper body ailment and should be on the trip as well.
Jesse Rogers covers the Blackhawks for ESPNChicago.com. ESPN.com's Pierre LeBrun contributed to this report.