Murray on Friday told Sportsnet that Nolan's title would change in the next few weeks.
"Like I've mentioned before, one of these days, I hope [the 'interim' is lifted], but it's not one of my things I'm thinking about," Nolan told the Sabres website. "It's trying to get this team better right now and coaching this team to the best of my ability. Whatever happens down the road will happen, and I feel confident in my ability, but we'll see."
The Sabres, who play the Washington Capitals on Sunday, are 8-11-4 since Nolan was named interim coach Nov. 13. The Sabres started the season 4-15-1 under coach Ron Rolston.
Murray was named GM Thursday.
"I really like him. He's direct. He knows people, he knows hockey players," Nolan said. "As a coach, you want a person who's going to load your arsenal up with some good talent. The only thing we have to do down the road is just open the gate and let them go."