Toronto Maple Leafs general manager Brian Burke appeared on TVA, a French-language television station in Quebec, and was asked about the possibility of the Leafs acquiring Vancouver Canucks goaltender Roberto Luongo.

“There has not been significant discussion (with the Canucks) on that player,” Burke, who wanted to calm the speculation, told TVA this week.

Tim & Sid of The Fan 590 (watch above) discussed the chances of Luongo actually landing in Toronto and threw out the names of current Toronto players that Canucks GM Mike Gillis might ask for in return.

Speculation about Luongo’s future has swirled since the veteran was supplanted as the Canucks’ starting goaltender in the opening round of the Stanley Cup playoffs in favour of Cory Schneider.

Luongo said he would be willing to waive his no-trade clause and leave the Canucks for a trade elsewhere. In April it was reported that the Leafs would be on a short list of teams to which Luongo would accept a trade.

The Leafs’ senior vice president of hockey operations, David Nonis, told the Fan 590 on Friday that he would be surprised if James Reimer and Ben Scrivens were the team’s two goalies next season. The club, he said, was looking to acquire a veteran between the pipes.

“From a Leafs standpoint, we need to make sure that we backfill and have some depth there so that we have some quality goaltenders to pick from,” Nonis told Brady & Lang. “Yes, we’ll look at (unrestricted free agency), we’ll probably jump in for a couple pieces, but overall we’re going to approach the trade market as a primary source of improvement.”

Luongo, 33, has 10 years remaining on his current contract with an annual cap hit of $5.3 million, while Schneider is due to become a restricted free agent this summer and will require a significant raise from his current $900,000 salary.

The Leafs are in need of help in goal after finishing 29th in goals against in 2011-12.