On January 17, 2019, it was announced that Norris would miss the remainder of the 2018–19 season due to an injury sustained during the 2019 World Junior Ice Hockey Championships. He finished the season with 10 goals and nine assists in 17 games. His 10 goals were tied for a team-high and ranked second in points behind teammate Quinn Hughes. Norris' 10 goals were tied for seventh-most in the nation and third-most in the Big Ten Conference.