Speculation even suggested that the Jets were apparently exploring offers from several teams, including the Vancouver Canucks, Chicago Blackhawks and Montreal Canadiens.
"All of that speculation kind of followed throughout the entire season and that's exactly what it was," Kane told the Sun. "I'm not going to talk about anything in the future or any contract type of stuff. That's between my agent and Winnipeg to sort something out.
"We'll see what happens."
It had been reported earlier this summer that Kane had been offered a six-year contract worth about $29 million from Jets GM Kevin Cheveldayoff.
In recent weeks, the Edmonton Oilers signed two of their core players in Taylor Hall and Jordan Eberle, who signed a seven-year deal worth $42 million and a six-year deal for $36 million respectively. Carolina Hurricanes forward Jeff Skinner also agreed to a six-year contract extension worth over $34 million.
It appears unlikely that Kane will settle a new contract with the Jets before the Collective Bargaining Agreement expires on Saturday.
He is one of a few restricted free agents still looking for a new deal, along with the Canadiens' P.K. Subban, Buffalo's Tyler Ennis, Colorado's Ryan O'Reilly and the New York Rangers' Michael Del Zotto.
Meanwhile, the Jets are also looking to fill the void left on their blueline as defenseman Zach Bogosian is expected to be sidelined between four and six months after undergoing wrist surgery.
However, Cheveldayoff has rushed to find help on the free agent market or via trade, leading the Sun to believe that a young defenseman could be promoted from within the lineup.
"It's one of our strengths," Jets captain Andrew Ladd said. "We have a lot of young guys that did well in St. John's last year that are ready. It's an opportunity for them to get into it and really take advantage of it."
