Kucherov leads the NHL in scoring with 82 points (33 goals, 49 assists) in 63 games. He was injured during the first period of Tampa Bay's 4-3 shootout win against the Toronto Maple Leafs on Monday.
Miller and defenseman Ryan McDonagh were acquired in a trade with the New York Rangers for forwards Vladislav Namestnikov and Brett Howden, defenseman Libor Hajek, a first-round pick in the 2018 NHL Draft and a conditional first-round pick in 2019 on Monday. McDonagh is sidelined with an upper-body injury.
The Lightning, 12-5-0 in their past 17 games, have scored four goals in each game during winning streak and lead the Atlantic Division, four points ahead of the Maple Leafs.
The Sabres, 2-1-0 in their past three games, are 20 points behind the Columbus Blue Jackets for the second wild card into the Stanley Cup Playoffs from the Eastern Conference.