PHOENIX -- The Cleveland Browns would do anything to improve their quarterback position, coach Hue Jackson said Tuesday at the NFL's annual meetings.

Except one thing.

The Browns will not trade the first overall pick in the draft.

"No," Jackson said. "I can tell you no on that one."

Jackson cherishes the value of the top pick, if not the record that earned him the selection. He said it was too early to say if defensive end Myles Garrett would be the choice, but called Garret "a tremendous player."

Jackson, though, would be open to trading the Browns' second first-round pick (12th overall), and other picks, if that's what it would take to get the team help at quarterback.

"There's trade opportunities, hopefully," Jackson said when asked how the Browns could improve at the position next season.

The key word: Hopefully.

The Browns have Brock Osweiler, Cody Kessler and Kevin Hogan on the roster. Osweiler, though, is not expected to be on the team after the spring. That leaves Kessler, Hogan and a QB to be determined -- perhaps from the draft; perhaps via trade.

Jackson said the team hasn't seriously considered free agent Colin Kaepernick.

"We haven't really discussed Colin," Jackson said. "There's other players at this point that we've really had a lot of conversation about to see if we can put on our team. Not saying that it won't come up later on. I think you have to exhaust everything you're doing. But at this point he hasn't come up that much."

The most discussed trade possibilities include New England's Jimmy Garoppolo and perhaps Cincinnati backup AJ McCarron. The Patriots have made it known they will not trade Garoppolo, with owner Robert Kraft pointing out Monday that he can find only one quarterback who had a standout season at 40 or older.

New England starter Tom Brady will turn 40 in August.

"We're going to do anything and everything we think we can," Jackson said, "but I can't comment on other teams' players."

The Bengals have made it known they will listen if a team is interested in McCarron, but trading a player at such an important position within the division is not typical.

"I think you guys know all kind of trades do happen," Jackson said. "Regardless of what team it is, what division it is. Normally the saying is, 'If the price is right, people do whatever you need them to do.' So I think anything is a possibility until it's not."

Bengals coach Marvin Lewis also did not dismiss the possibility, quipping if the Browns and Bengals agreed to a deal, it "might set a precedent."

"AJ is a valuable member of our football team and any interest that way would be evaluated based on what the other interest would be," Lewis said.

It was mentioned to Lewis that he could set the market by letting it be known he wanted the 12th overall pick.

To which he said: "How about No. 1?"