"We don't want to take any chance of affecting his decision on going through with what's been proposed," Moe DuBois said.
"At this point I have no idea whether I would ever want to speak to him," he said.
Sara Muller Fraunces, a spokeswoman for Chelsea King's parents, declined to comment on whether they'd be interested in ever speaking to Gardner.
"They're keeping their feelings private," she said. "They'll speak at the sentencing and that's where they're focused."
In his jailhouse interview with San Diego station KFMB that did took long walks and drives to calm his rage, but that he couldn't stop himself from killing Amber and Chelsea.
"I was aware of what I was doing, but I could not stop myself," he told KFMB. "I was in a major rage and pissed off -- pissed off at my whole life and everybody that's hurt me and blew up, and I hurt the wrong people."
Gardner then laughed when asked if there were any more victims, telling the reporter, "Nice try."
Gardner denied that it was the threat of the death penalty in the King case that convinced him to tell police where DuBois' was located.
"I told them with no promise of a deal," he said. "I had no promises, and I showed them where Amber was because I felt bad."
But he also criticized school budget cuts and suggested that if DuBois had been on a bus and not on foot, he wouldn't have killed her.