Keith was assessed a match penalty for intent to injure and is suspended indefinitely. He was knocked to the ice by Coyle and retaliated by swinging his stick while lying on the ice. Coyle was left with blood dripping down the bridge of his nose.
The NHL's Department of Player Safety tweeted Wednesday that Keith has been offered an in-person hearing.
Chicago's Duncan Keith has been offered an in person hearing for high-sticking on Minnesota's Charlie Coyle.
— NHL Player Safety (@NHLPlayerSafety) March 30, 2016
The offer Wednesday means the league can suspend Keith more than five games, but it doesn't have to. Keith has the option of traveling to New York or waiving his right to the hearing.
Chicago has five regular-season games remaining.
The penalty, at 9:27 of the first period, left the Blackhawks short-handed for five minutes, though the Wild did not score during the extended power play. It also left the Blackhawks without two key defensemen; Brent Seabrook missed the game because of illness.
The Wild won the game 4-1.
Because he was assessed the match penalty, Keith is suspended until the league reviews the play. Keith's case won't be helped by his previous suspension, in the 2013 playoffs, for swinging his stick and hitting Los Angeles Kings forward Jeff Carter in the face.
"We miss guys all year long. I'm not worrying about hypotheticals," Chicago coach Joel Quenneville said about a possible multiple-game suspension.
The Blackhawks visit the Winnipeg Jets on Friday night.
The Associated Press contributed to this report.