The Sabres entertained trade calls for Miller prior to this season's trade deadline, and are expected to resume various discussions this summer.
The Sun claims that if the Phoenix Coyotes are unable to re-sign netminder Mike Smith, they could pursue Miller, whose wife, actress Noureen DeWulf of Anger Management, lives in Los Angeles. Miller spends his off-seasons in L.A. with his wife.
Smith is scheduled to become an unrestricted free agent July 5. He's shown a willingness to re-sign with the Coyotes, but he wants to know what their ownership situation is like before committing to the team.
It's unclear what the Coyotes could offer in exchange for Miller, though the Sabres are believed to be in the market for an upgrade at the forward position, an area in which the Coyotes are also thin.
The Sun also reports the Washington Capitals, Philadelphia Flyers, Calgary Flames, Minnesota Wild, New York Islanders and Edmonton Oilers are among the teams with questions between the pipes.
In Calgary and Minnesota, their respective No. 1 goalies -- Miikka Kiprusoff and Niklas Backstrom -- could be on the move.
Kiprusoff is expected to call it a career, though he has one-year left on his contract, while Backstrom is set to become a UFA this July.
Miller, who has one-year left on his current contract at a salary cap hit of $6.25 million, owns a limited no-trade clause and can list up to eight teams he will not accept a move to. It's unclear which teams are on his no-trade list.