An offseason priority is re-signing center John Tavares, who can become an unrestricted free agent July 1.
"That certainly has not and did not enter into any of the decisions that are made," Lamoriello said of Tavares' situation.
Weight played 19 seasons in the NHL, including his last three with the Islanders. He retired after the 2011 season and was named an assistant coach and senior adviser to the general manager May 26, 2011. He took over for after Jack Capuano was fired on Jan. 17, 2017 and coached the Islanders to a 24-12-4 finish, missing the Stanley Cup Playoffs by one point.
The Islanders regressed this season, going 35-37-10 and finishing 17 points behind the New Jersey Devils for the second wild card into the playoffs from the Eastern Conference. New York allowed 296 goals, most in the NHL, and a League high 35.6 shots-against per game.
Snow, who played 12 NHL seasons (four with the Islanders), was hired as president and GM on July 18, 2006. The Islanders made the playoffs four times since but have missed the past two seasons. Their first-round win against the Florida Panthers in 2016 is their only playoff series victory since 1993.
Lamoriello was hired by the Islanders on May 22 after three years as GM of the Toronto Maple Leafs.
"If I felt like I was rushing, I wouldn't do it," Lamoriello said. "I'm a believer that when time's on your side that you use it. But when you know what you feel what the right decision is, you make it."