"We will not comment on rumors," Avalanche vice president Jean Martineau told The Denver Post on Tuesday.
Sportsnet reported Tuesday that Dubas was granted permission to speak to the Avalanche about a front-office position. Joe Sakic is Colorado general manager, but the newspaper speculated he could be given a new title or a promotion in the organization by owner Stan Kroenke.
Dubas was 28 years old when he was hired by the Maple Leafs on July 22, 2014, as an assistant under general manager Dave Nonis. Lou Lamoriello was hired to replace Nonis on July 23, 2015.
Toronto this season made the Stanley Cup Playoffs for the first time since 2013 and the second time since 2004. The Maple Leafs were eliminated by the Washington Capitals in six games in the Eastern Conference First Round.
Dubas is general manager of the Toronto Marlies in the American Hockey League.