Woodhead sat down with "First Take" host Sage Steele and revealed he was playing in a Donald Trump charity golf tournament when he got the call from the New York Jets to tell him "You're fired."
"I was actually in the middle of the tournament," Woodhead recalled. "I saw it was an area code of New Jersey, and I knew that probably wasn't the best deal. So I got cut. Next thing you know, I got picked up later that week by the Patriots. Things obviously work out for a reason.
"It was tough, especially because that would've been my third year there [with the Jets]. So I felt like I knew the people around the organization, but things happen for a reason. I feel very, very, very blessed to be where I'm at now."
Woodhead sounded baffled to be considered for the "Madden NFL 12" cover to begin with, let alone to still be alive after two rounds of the tournament. The bracket is being decided by a fan vote.
"It is crazy going from being cut, released, to in less than a year getting the chance to maybe be on the cover," Woodhead said.