Browns trying to trade up for QB Trubisky

April 27 (UPI) -- Texas A&M's Myles Garrett is set to be the No. 1 pick in Thursday's 2017 NFL Draft, but that doesn't mean the Cleveland Browns won't draft a quarterback.

Multiple league sources told the Cleveland Plain Dealer that the Browns are on their phones trying to trade up from its No. 12 pick to draft North Carolina quarterback Mitchell Trubisky.

The Browns could find many willing parties to pick up a deal, as the Buffalo Bills, Tennessee Titans, New York Jets, and San Francisco 49ers are among several teams looking to trade down in the current first-round order.

Cleveland also holds pick No. 33 and pick No. 52.

Browns general manager Sashi Brown recently told the NFL Network that the franchise isn't "desperate for a quarterback."

Brown also said that the team has known who the No. 1 pick for two weeks, according to CBS Cleveland.