Snow is still trying to get something done with Nielsen, a 32-year-old center who has only played for the Islanders during his 10-season career. But with July 1 less than two weeks away, there's a chance Nielsen will test the market.
"He plays in all situations for us and it's such a key role and he would be another key piece to lose," Tavares said.
The same goes for Martin, a physical fourth-line wing who was crucial to the Islanders. He led the NHL in the regular season with 365 hits, 77 more than any other forward in the League.
"Matty Martin is such a presence physically and in the locker room as well," Tavares said. "He is such a well-liked guy and he brings something unique to our team."
No matter what happens to the roster, Tavares says he is focused on one thing heading into the 2016-17 season: he wants to lead the Islanders further into the Stanley Cup Playoffs than they went this spring, losing to Tampa Bay in the Eastern Conference Second Round in five games.
"For sure, there are going to be some holes that have to be filled," Tavares said. "We'll have to see what guys will step up and what pieces will be added or changed. Obviously we want to take that next step and keep pushing for Cups, so it's a big offseason for us."