CLEVELAND, Ohio -- UCLA quarterback Josh Rosen seemed to confirm a report over the weekend that he'll try to avoid playing for the Cleveland Browns, who have the No. 1 pick in the draft.

"I'd rather be a lower pick at the right team than a higher one at the wrong team,'' Rosen said Saturday at the Cactus Bowl media day as the Bruins prepared to play Tuesday in the Cactus Bowl tonight against Kansas State, per Josh Weinfuss of espn.com.

The answer came in response to a question about whether he feels strongly about playing for certain teams, but not specifically about the Browns.

"I think the teams know more than I do in the sense of where I'd best fit," he said. "I might be a bit of a unique personality, so hopefully they can pick me a part and if a team really feels that I'm their guy, hopefully they'll go and get me.

On Sunday, ESPN's Adam Schefter reported that Rosen would prefer to play for the Giants over the Browns, and that he'd even consider staying in school to avoid coming to Cleveland.

By the end of the game, a 20-3 loss to the Bears, the Browns had clinched the No. 1 pick in the draft, and have a clear shot at Rosen, widely regarded as one of the top college QBs. Rosen, who will sit out tonight's game with a concussion, will confer with his parents after this game to decide what to do, Schefter reported.

The Giants currently have the No. 2 pick in the draft, but could slip to No. 3 if they win their finale and the Colts lose.

Sources told Schefter that Rosen prefers the Giants because they're "more stable'' than the Browns. Cleveland has started 28 quarterbacks since their return in 1999, and have had only two winning seasons in that 18 years.

UCLA QB Josh Rosen on getting drafted by certain teams, if he comes out this year: “I’d rather be a lower pick at the right team than a higher at the wrong team.” — Josh Weinfuss (@joshweinfuss) December 26, 2017

Hue Jackson admitted last week that the Browns will upgrade the position and that it's "fair to question'' if 2017 second-round pick DeShone Kizer "will ever get it."

"The quarterbacks on our football team, in general, just all of them, they all understand that we're always trying to better our position," Jackson said. "We did not draft a quarterback in the first round and say, 'This is our quarterback of the future.' We took a quarterback. We're trying to grow him.

"We have a very young quarterback room. We need to continue to improve that room as much as we can as we move forward for it to be the best it can be. I understand when you take a guy in the second round, everybody suspects that that's the guy. We wish it is. I mean you hope it is. But if it isn't, that's OK, too. And hopefully the guy will continue to grow and get better, but you also have to continue to get better at the position."

Former Browns receiver Andrew Hawkins, who has stayed connected to the team, had something to say about Rosen's declaration.

I dont care Josh. Youre going to be a Brown. And u better come in and ball! https://t.co/W3xqHsY9x6 — Andrew Hawkins (@Hawk) December 26, 2017

It wouldn't be the first time a player refused to play for the team with the No. 1 overall pick and finagled his way to the Giants.

In 2004, Eli Manning wanted no part of the San Diego Chargers, who had the No. 1 pick. His agent, Tom Condon, told the Chargers that Manning would sit out the year if they drafted him. Manning also said he'd go to law school rather than play for the Chargers, who at the time had just four winning seasons in the previous two decades.

The Chargers drafted him anyway, but turned around and traded him to the Giants for quarterback Philip Rivers, whom New York had drafted at No. 4. The trade was orchestrated by former Browns and Giants general manager Ernie Accorsi, who also drafted Bernie Kosar for the Browns in the 1985 supplemental draft.

It proved to be a brilliant move for the Giants, who won two Super Bowls under Manning. If Rosen replaces him, that will make back-to-back Giants quarterbacks who didn't want to play for the team picking No. 1, and made their way to New York.

Rosen isn't the first college QB this season who supposedly wants to avoid the Browns. USC's Sam Darnold, who will face Ohio State Friday night in the Cotton Bowl, was rumored to be considering staying in school rather than come to Cleveland.

But he denied that after a recent Trojans practice. "I didn't say anything about the Browns," Darnold told reporters. "I've never said anything bad about (an NFL) team. They know I would never say anything."

With Rosen seemingly confirming the report about him Tuesday, Jackson and new Browns GM John Dorsey apparently have some damage control to do before the draft in April.