Nashville originally hoped the eight-year NHL veteran would miss only two weeks after a problem with his neck surfaced Jan. 5 against Detroit. But Murray has dystonia, a neurological disorder with involuntary muscle contractions.
Assistant general manager Ray Shero said doctors are trying to find the proper medicine for Murray, who continues working out but remains on the injured list.
"The doctors are confident with the right medication he'll be able to continue his career," Shero said. "It's a matter of when the time frame is for that."
The Predators obtained Murray from the New York Rangers in a December 2002 trade, and Murray played a combined 85 games last season. He had seven points in 12 games this season before he developed his neck condition.
Murray had been a key player for Nashville while protecting leads late in games, taking faceoffs and centering the Predators' fourth line.