The Bills become his fifth team in six seasons since the Lincoln County and Georgia product was drafted by the Green Bay Packers in the sixth round in 2009.
"I guess the biggest thing has been opportunity," Wynn said during a telephone conference call, when asked about the challenges he's faced in a winding career. "That's what I think has been a problem. But I've been grateful and glad to do whatever the team gave me, and go out there and show my talent."
Listed at 6-foot-3 and 285 pounds, Wynn split last season between San Diego and Dallas. The Cowboys were in need of healthy defensive linemen when they signed Wynn in October, shortly after he was released by the Chargers.
Wynn spent his first three years in Green Bay, and the 2012 season with the Tennessee Titans.
Overall, he has 8 1/2 sacks in 58 career games.
Mostly used as a defensive end, Wynn has the bulk to play tackle. He is expected to provide depth on a defense that's making the switch to a 4-3 system under new coordinator Jim Schwartz.
"I feel like I have shown improvement to guys that I can play in this league and rotate in the rotation," Wynn said. "But I'm not trying to be a rotation guy this year. I'm trying to come in and win the starting position."
That will be a tough task. The Bills already have a solid front made up of ends Jerry Hughes and Mario Williams, and tackles Kyle Williams and Marcell Dareus.