Coffey, 31, hopes to have a conversation with Nats general manager Mike Rizzo during the Winter Meetings this week to see where he stands with the club.
Asked what the chances are of him returning to Washington, Coffey said, "In my heart of hearts, if it's the right contract, I would look to definitely come back to the Nationals."
Coffey declined to say if other teams were interested in his services, but a baseball source indicated there are two teams in the National League East and NL Central and three teams in the American League West that have showed interest in the right-hander.
Bill Ladson is a reporter for MLB.com and writes an MLBlog, All Nats All the time. He also could be found on Twitter @WashingNats. This story was not subject to the approval of Major League Baseball or its clubs.