It has already been widely speculated that the Ducks might be forced to trade one of their two stars if they fall out of playoff contention this season.
Murray isn't concerning himself with that and plans on signing them to new deals.
"It's my priority," he said earlier today. "They've been Anaheim Ducks. I love those guys. They're winners. I'm going to do everything in my power to sign them."
Murray added that he's already "talked to both of their camps already," and negotiations could get underway later this month.
Getzlaf and Perry both have an annual salary cap hit of $5.325 million.
"Their agents are coming in within the next couple of weeks," Murray said. "That's my biggest priority. It's not rocket science. I'll try everything I can to get them signed."
Perry's agent, Mark Guy, told TFP on Friday that he expects formal talks to commence shortly after the season gets underway on Jan. 19.
Under the new rules of the new Collective Bargaining Agreement, the maximum length a player can sign a new deal with his current team is eight years.
Perry could also command an annual salary in the $7 million range on his next deal, while Getzlaf could see his salary hover around $6 million.