A clash between the two British heavyweights was highly sought but Fury never appeared that keen to take on the previously unbeaten Price.
However, he now admits a summer clash was on the agenda and he is gutted that Price's defeat means it will not now take place.
"I've got no interest in fighting David Price," he told the Manchester Evening News. "It's dead in the water.
"What's the point in fighting someone who was knocked out in two rounds? If I don't do the same to him then people will say I couldn't even do as good a job as a 41-year-old.
"I had the opportunity to make big money out of fighting David Price. I was hoping to get him after Tony Thompson.
"Now a super fight in the summer has been messed up but maybe I'll get a big fight in America with Thompson.
"I was hoping Price would win. I didn't want him to lose because it is taking bread out of my mouth."
Fury is currently preparing for his US debut when he fights former cruiserweight champion Steve Cunningham on April 20.
"Cunningham is a lot harder fight," he added. "After him I will take Thompson and show Price how to deal with a granddad. I guarantee it won't last longer than three rounds. I will blitz him.
"I don't want America to think all Brits are like David Price. I can't let Thompson get away with that - I will have to take him out for Price."