If Boyle, 37, signs with the Islanders prior to the start of the 2014-15 season, the Islanders will instead send their 2015 fourth-round pick to the Sharks.
In 75 games this season, Boyle had 12 goals and 36 points, and four assists in seven Stanley Cup Playoff games. With the Sharks looking to get younger, general manager Doug Wilson said last month the team would not be offering Boyle a contract.
Linden said that the team knows it has an asset in Edler and is looking forward to better things from him.
"There isn't a team in the league that wouldn't have its hand up for the opportunity to have an Alex Edler," he explained. "(Trading him) is not in our consideration. We want to work with Alex; we have to get his game back, and I know he's committed to doing that."
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