That’s not true.
https://www.nbcsports.com/boston/patriots/tom-bradys-patriots-contracts-through-years#slide-6
2010
Deal: 4-year, $72M extension
Signing Bonus: $48.5M guaranteed
It took a car accident to push this deal over the finish line. With uncertainty because of a looming uncapped year in 2011, the Patriots and Brady worked hard to get a deal done prior to the start of the 2010 regular season when Brady would enter his walk year. A Thursday morning car accident caused Robert Kraft to consider the fragility of things and decide to get the deal done. The four years and $72M were for the 2011 through 2014 seasons and
it had a record amount of guaranteed money and was the biggest contract in NFL history (briefly). The deal was announced at halftime of the Thursday night season opener on NBC by Peter King. After the deal was complete, Kraft said, "You’re never sure (when the deal will get finished) because it’s hard. You’ve got two sides. You’ve got agents, but everyone’s trying to help, but it gets complicated, but now, please God, he’ll be the quarterback here for 15 years. which is unusual." The day after Brady signed the deal, Bill Belichick said at his morning press conference, “There is no quarterback I’d rather have than Tom Brady.”