 Early in the 2013–14 season, Gustavsson was called upon to replace starter Jimmy Howard, who injured his left catching hand.On 21 October 2013, Gustavsson was named NHL's First Star of the Week.Gustavsson posted a 3–0–0 record with a 1.67 goals-against average and .953 save percentage in victories over the Boston Bruins, Columbus Blue Jackets and the Colorado Avalanche, helping the Red Wings move into first place in the Atlantic Division.