Rutherford said he has received interest from teams in the two goalies, who each can become a restricted free agent after this season.
"I haven't gotten to the point yet where I'm having serious talks or seeing exactly how much I can get," Rutherford told The Athletic. "But I will say, I'm getting close to that point, to understanding just what people are willing to give. So, we'll see. I don't know exactly how it's going to go, but I can already see that there is going to be a lot of interest.
"There is already interest. And it looks like we're going to have to move one of them."
Murray, who won the Stanley Cup with Pittsburgh in 2016 and 2017, played the final season of a three-year, $11.25 million contract ($3.75 million average annual value) he signed Oct. 20, 2016. Jarry played the final season of a two-year, $1.35 million contract ($675,000 average annual value) he signed July 26, 2018.
"We'll see how things unfold," Rutherford said. "But I plan on being pretty busy, and there's a good chance goaltending will be involved in what we'll be doing."
The Penguins, the No. 5 seed in the Eastern Conference after finishing the regular season with a .623 points percentage, lost to the Montreal Canadiens, the No. 12 seed (.500), in four games in the Stanley Cup Qualifiers. Murray started three of those games and was 1-2 with a 2.50 goals-against average and .914 save percentage. Jarry started Game 4, his NHL postseason debut, and allowed one goal on 21 shots in the 2-0 loss.
Murray and Jarry shared the No. 1 role during the regular season. Murray was 20-11-5 with a 2.87 GAA and an NHL career-worst .899 save percentage. Jarry, who played in the 2020 Honda NHL All-Star Game in St. Louis on Jan. 25, was 20-12-1 with a 2.43 GAA, .921 save percentage and three shutouts.
Having two capable starting goalies is a luxury the Penguins may not be able to afford with each eligible for a raise and the NHL salary cap remaining $81.5 million next season.
The NHL has not announced a starting date for next season.
"We know that there's a very, very good chance that we're going to have to move one of them," Rutherford said.
Murray is third in Penguins history with 117 wins in the regular season, behind Marc-Andre Fleury (375) and Tom Barrasso (226). In the postseason, he has the lowest GAA of any Penguins goalie to play more than 12 games (2.18) and is third with 29 wins, behind Fleury (62) and Barrasso (56).
Jarry is 34-20-4 with a 2.61 GAA and .914 save percentage in 62 games (57 starts) with the Penguins.
The Penguins and Toronto Maple Leafs made a trade Tuesday that sent forward Kasperi Kapanen to Pittsburgh and a first-round pick (No. 15) in the 2020 NHL Draft to Toronto. Forward Pontus Aberg and defenseman Jesper Lindgren were also traded to the Penguins, and the Maple Leafs received forwards Evan Rodrigues and Filip Hallander, and defenseman David Warsofsky.
