Miller, 34, is scheduled to become an unrestricted free agent July 1 and all signs point to him leaving the Sabres in the summer, if he's not traded by March 5, which now seems likely.
"Our goal, right now, on both sides, is to pursue a proper trade," Murray said.
"The route we're looking at is to get value for him, to put him in a position to succeed."
The Sabres plan on trading Miller to "a contender, a good team that may be lacking only his position," Murray added.
The St. Louis Blues, Minnesota Wild and Washington Capitals have expressed an interest in Miller, though it appears more have kicked the tires.
"I think there are enough really good teams, teams that consider themselves contenders, that are kicking around the idea of trading for a good goalie," Murray said. "I think there's a possibility, with more talks, that something concrete could happen."
Murray sounded as if a trade was inevitable, though also indicated that he wasn't actively trying to trade him, at this point.
With the trade deadline eight days away, the Sabres have time to wait for the best offer.
"Ideally, in a perfect world, if teams would give me two real good young players that are two years or so into their development, that would be outstanding," Murray said. "But I don't think teams are going to bend over backwards to make life easier for us. The determination will be made on what the best deal is offered. If it's draft picks, it's draft picks."