The Winnipeg Free Press reported that the Jets will have a future game at Investors Group Field, and that chairman Mark Chipman wants to hold it in 2016.
General manager Kevin Cheveldayoff didn't provide any more details than what was in that report.
"I think it's a very exciting proposition," Cheveldayoff said Tuesday after the NHL's board of governors meeting. "Certainly lots of work probably needs to get done on it. I think it's all very preliminary."
Bettman struck the same chord, refusing to confirm the 2016 Heritage Classic in Winnipeg and saying the story "seems to have taken on a life of its own."
"We had a discussion with Mark Chipman where we said we'd like to have an outdoor game in Winnipeg, Heritage Classic, and Mark said that's great," Bettman said. "We said we're not ready to make any announcements, and what is your preference on dates? He gave us a preference of '16, but there's no formal agreement, announcement or anything else.
"It's still a work of progress, but at some point in the next few years, perhaps '16, perhaps not, we'll have an outdoor game in Winnipeg."
The Free Press reported that Chipman was interested in having the Heritage Classic as part of the Jets' fifth anniversary season.
The Vancouver Canucks are set to host the Ottawa Senators in the Heritage Classic March 2 at BC Place.
Follow Stephen Whyno on Twitter at @SWhyno.