Fair, a former first-round pick of the Lions, would like to pick a new team by the weekend, but he is said to be looking for a starting job, something that will not happen in Miami as long as Patrick Surtain and Sam Madison are around.
As for Buckley, there's reason to believe the Dolphins simply don't have that much interest in the veteran at this point because Buckley has not been very impressive this summer.
"At this point, we don't have to do anything (at cornerback)," Coach Dave Wannstedt said Wednesday. "We feel very confident with the guys we have."
That may be true, but the Dolphins wouldn't pass up the chance to pick up a guy like Fair if they have the opportunity.
Fair has been a starter throughout his four-year NFL career, and his release by the Lions came as a major surprise being that he appears to be fully recovered from a foot injury that cut short his 2001 season.
Despite his proclamation that he's happy with what the Dolphins have at cornerback, it's likely that if Fair is acquired, he will replace Jamar Fletcher as the No. 3 cornerback.
But Wannstedt isn't worried about hurting Fletcher's confidence, because the overall good of the team is more important.
"It's a unique situation in that you have a veteran guy who is young but has been a starter for a while," he said. "I have an obligation to the team to at least investigate it."
Fair also has drawn the interest of Baltimore, Green Bay and Carolina, among others, so the Dolphins may have to wait a while before they find out if they get Fair.
As for Buckley, Wannstedt talked to the former Dolphin on Tuesday and said, "We're leaving the door open, but there's nothing pressing on either side."
Buckley also has been contacted by the New England Patriots and Kansas City Chiefs.