Earlier this year, the quarterback was traded from the Oakland Raiders to the Arizona Cardinals, who face the Bucs this Sunday.
The 33-year-old told reporters: "With everything that was going on I was very interested in a lot of different places and teams, and obviously was flattered. My agent had said that Tampa had been contacting him a lot.
"I would have been very excited to be there. Their organisation has a lot of good players across the board, but like I said, I'm excited and happy to be where I am. I'm excited about our future."