"I don't know, we'll see how it plays out," Clippard said. "The discussions are up to me, the Nationals, my agent and everything like that. Talking about it in the media doesn't do me any good."
Fister, acquired from the Tigers in a trade in December, wants $8.5 million; the Nats countered with $5.5 million.
Fister hopes to get a deal done soon.
"We both want to settle," Fister said. "It's one of those things where no one wants to go to arbitration. We'll see what we can do."
Bill Ladson and Andrew Simon are reporters for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.