Krug, who has played every game in the 2020-21 season, did not practice with the team on Saturday morning.
Blues Head Coach Craig Berube confirmed to reporters after practice that he would not be in the lineup against the Wild.
Krug leads all Blues defenseman with 29 points this season (one goal, 28 assists). He ranks 10th amongst NHL defenseman in assists and has six assists in his last four games.