PHOENIX: Coach Hue Jacksons hope is alive that the Browns could trade for a veteran quarterback this offseason.

The New England Patriots are intent on keeping backup Jimmy Garoppolo. The Cincinnati Bengals might not be willing to trade backup AJ McCarron to another AFC North team.

But Jackson hasnt given up.

We all know theres the draft thats coming up [April 27-29], Jackson said Tuesday during the NFL owners meetings at the Arizona Biltmore hotel and resort. Theres trade opportunities hopefully. I think well exhaust every opportunity as we move forward.

Asked about Garoppolo, Jackson said, Were going to do anything and everything we think we can, but I cant comment on other teams players [because of NFL tampering rules].

Jackson knows the Bengals well because his resume includes two years as their offensive coordinator (2014-15). Hes also a good friend of Bengals coach Marvin Lewis.

So does Jackson think old-school Bengals owner Mike Brown would actually trade McCarron within the division?

All kind of trades do happen regardless of what team it is, what division it is, Jackson said. Normally, the saying [is], If the price is right, people do whatever you need them to do. So I think anythings a possibility until its not.

The Browns and Bengals have never traded with each other.

We might have to set a precedent, Lewis quipped at the meetings.

McCarron spent his first two NFL seasons learning from Jackson.

AJ McCarron is a valuable member of our football team, Lewis said. No one has asked to trade him. Were not going to go out and seek a trade for AJ McCarron. ... Any interest that way would be evaluated based on the other interested team.

When a reporter joked Lewis should publicly demand the 12th overall pick from the Browns, Lewis quipped, How about No. 1?

Jackson spoke as if the Browns would be open to trading the 12th pick for the right veteran, but he emphatically ruled out surrendering the No. 1 pick for a quarterback.

The Browns have five of the first 65 picks, including those two choices in the first round. Theyll almost certainly draft a quarterback, but Jackson said they also want to add a veteran.

Former San Francisco 49ers starter Colin Kaepernick is among the free agents Jackson said the organization could treat as a fallback option. Jackson said team brass hasnt discussed pursuing him yet, but he loved Kaepernick in the 2011 draft.

We havent done any homework [on Kaepernick] this year, Jackson said. My homework would have been from 2011 in college. We havent done much more since then to be honest with you because there are some other guys were chasing. It doesnt mean we wont go back and revisit. All depends on how everything shakes out in the next several weeks.

Im sure hell come up again if and when the other things were chasing dont work out. Its not that I dont like Colin. Its just where we are and the decisions were trying to make as far as guys were interested in right now.

Kaepernick became a controversial player last season because of his political protests in which he sat and later kneeled during the national anthem before games.

Browns owner Jimmy Haslam insisted Monday he wouldnt block Jackson and the front office from signing Kaepernick because of the protests, and Jackson said its premature to discuss how he feels about them.

If we do go down that road, we would have to discuss all those variables as we go through them, Jackson said. But that hasnt been part of our thought process right now.

As it stands, Cody Kessler, Kevin Hogan and Brock Osweiler are the quarterbacks on the roster, and Kessler would be the favorite to start.

Cody is one of the players that well consider, Jackson said. ... But at the same time, my job is always to go find the guy who I truly believe can do it week in and week out consistently and help this organization win. And thats not saying that Codys not that guy. We still have a draft and other traded possibilities coming up to improve.

The Browns acquired Osweiler in a trade with the Houston Texans, but they made the move March 9 to acquire a 2018 second-round pick, not the quarterback. The Browns want to trade Osweiler and will likely release him if they cant pull off a deal.

Jackson said he expects Osweiler to report to team headquarters April 17 for the offseason workout program, though Jackson wouldnt even commit to him being with the team this summer in training camp.

Well let that all play out, Jackson said.

Asked if Osweiler would be on the team during the 2017 season, Jackson said, I dont know that. I do know that hes on our team now.