According to the former Notre Dame quarterback, he very nearly became the property of Cleveland's bitter division rival.
"Here's something that a lot of people don't know," Brady told NFL Media's Daniel Jeremiah on Monday's edition of "Path to the Draft." "During that pick, I was on the phone with the Baltimore Ravens the entire time. So, I was talking to (general manager) Ozzie Newsome ... coach (Brian) Billick and coach (Rick) Neuheisel, because I hadn't interviewed with them, hadn't worked out for them or anything."
With the Ravens hoping that Quinn's surprising tumble down the draft board would land him in their lap at No. 29, fate stepped in from the Buckeye State.
"So, all of a sudden, with like a minute left, I get a call from a 216 area code, which happened to be Cleveland," Quinn said. "And it was the Browns calling to tell me they were trading up to the 22nd pick. The Ravens were going to take me ... so I wasn't sure what to think.
"And I hear my name being called, and I'm running out to the stage to grab a jersey -- it really was a childhood dream come true."
None of this was news to Jeremiah, the former Ravens scout who told Quinn: "I was in that (Baltimore) draft room when we were talking to you on the phone and having that discussion about, 'Are we going to take Brady Quinn? We can't believe he's still on the board!'"
Quinn's run with the Browns didn't go as planned, but it's tantalizing to ponder what would have happened had he gone to Baltimore. After missing out on the young quarterback of their choice, the Ravens suffered through an abysmal 5-11 campaign in 2007 with a mixture of Steve McNair, Kyle Boller and Troy Smith under center.