He could have become a Dolphin if Saints coach Sean Payton hadn't taken Graham off the market in the third round of the 2010 draft. Payton's mentor and former boss, Bill Parcells, was an executive with Miami at the time and had his eye on Graham.
"I do remember 30 seconds after the selection, getting a phone call from Parcells," Payton said, adding he could tell Graham was someone Parcells targeted. "That makes you feel good,Air Force Scontate Online, rather than him saying, 'What did you take him for?' To Jimmy's credit, he's come in and his transition has been fairly quick with maybe the lack of experience that a lot of players would have in college."