"We respect Alex a great deal in what he's accomplished here," Moore said Wednesday at the Winter Meetings. "We believe he's going to continue to perform very well into the future. And we are going to work very hard to keep him here -- we want to keep all of our players here long-term.
"I don't think either side feels any pressure. We have him under control for two more years. There's certainly a willingness to move forward together and get something done."
There was no indication that a signing was imminent, and Moore declined to say if he'd been in contact with Gordon's agent.
Gordon is up for salary arbitration again and is due for a sizable increase from the $1.4 million he earned in 2011, when he had a breakout season -- .303 average, 23 homers, 45 doubles, 87 RBIs and a Gold Glove for defensive excellence after totaling 20 outfield assists.
Asked recently if he was looking for a long-term deal, Gordon said: "What I'm preparing for is next year, because I know I'm going to be a Royal as long I don't get traded or anything like that. So that's my focus: another season with the Royals and hopefully a better year in wins and losses."
Dick Kaegel is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.