Head coach Barry Trotz (left) and assistant coach Lane Lambert...

Head coach Barry Trotz (left) and assistant coach Lane Lambert of the Washington Capitals talk prior to a game against the New Jersey Devils at the Prudential Center on Oct. 13, 2017. Credit: Getty Images / Bruce Bennett

The Islanders hired Lane Lambert, a longtime assistant to Barry Trotz with both the Capitals and Predators, as their associate coach on Thursday.

And Trotz, speaking on Sirius XM NHL Network, said Capitals goalie coach Mitch Korn may also join his Islanders’ staff.

“We’ve talked to people like Mitch Korn,” said Trotz, who also worked with Korn in Nashville. “Mitch has been with me a long time. Nothing is imminent.”

Lambert, 53, spent the past four seasons with Trotz in Washington and also was a Predators assistant from 2011-14.

“He knows the culture that we want,” Trotz said. “He’s demanding. He’s passionate. He’s been a really good ally.”

Former associate coach Greg Cronin is the only member of former coach Doug Weight’s staff to have been fired so far.

Nelson files

Center Brock Nelson, coming off a three-year, $7.5-million deal, was the lone Islanders restricted free agent to file for salary arbitration prior to Thursday’s deadline. The Islanders extended Nelson, 26, a $3.5-million qualifying offer after he compiled 19 goals and 16 assists in 82 games last season, his fifth with the team.

Friday marks the deadline for team-elected salary arbitration. Forward Ross Johnston and defenseman Devon Toews are the other Islanders’ arbitration-eligible RFAs.

Skarek signs

Czech goalie Jakub Skarek, 18, a third-round pick in this year’s draft, agreed to a three-year, entry-level deal. He went 9-12-0 with a 2.41 goals-against average and a .912 save percentage for Dukla Jihlava in the Czech League last season and is expected to play in Finland this season.

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