Svechnikov made his NHL debut on 4 October 2018, going scoreless in a 2–1 loss to the New York Islanders. One day later, he recorded his first career NHL point (an assist) in a 3–1 win over the Columbus Blue Jackets. On 7 October, Svechnikov scored his first career NHL goal during an 8–5 win against the New York Rangers. In doing so, he became the first player born in the 2000s to score an NHL goal. Svechnikov finished his rookie season with 20 goals and 17 assists for 37 points. He also recorded 5 points in 9 postseason games.