Islanders President of Hockey Operations Lou Lamoriello has been in "near daily" contact with John Tavares' agent, reports Frank Seravalli of TSN.
Tavares, who is set to become a free agent on July 1, seemed to approve of the Islanders' decision to hire Lamoriello last month, according to Andrew Gross of Newsday.
The Hockey Hall-of-Famer recently heaped praise on Tavares, calling him "one of the elite players," but wouldn't elaborate upon his future with the team.
"A gentleman both on and off the ice and just a quality individual as well as a quality player," Lamoriello said of Tavares. "I don't know any better way of describing him."
The 27-year-old captain has indicated his desire to remain with the Islanders.
"I never said I'm expecting to leave or looking to leave," he said. "I've always wanted it to work out."
Tavares, who was drafted first overall by the Islanders in 2009, totaled 37 goals and 47 assists in all 82 games for New York last season.