The football operations leaders are under contract for the next two years, but Murphy emphasized he wants the duo in Green Bay for several more years.
"We want Ted and Mike to be with the Packers long term, and I'm confident that they will be," Murphy said.
The Packers won their fourth Super Bowl -- and first since the 1996 season -- in spite of a run of injuries in which 15 players, including six starters, went on injured reserve and two more starters -- cornerback Charles Woodson and wide receiver Donald Driver -- left the game during the first half of Sunday's 31-25 victory over the Pittsburgh Steelers.
"It's a tribute to Ted Thompson that he's really put together a team that should be good for a number of years," Murphy said. "But I've been around the NFL long enough to know that each year stands on its own. It's going to be a real challenge."
McCarthy was clear about his future wishes Monday.
"I would hope this is my last job," McCarthy said. "I'm a builder, and we have built something special. This program was built the right way, has quality people in Aaron Rodgers and all the way through that are going to lead this football team for a long time."