Thurmond would seem likely to start opposite Prince Amukamara, unless the Giants sign Dominique Rodgers-Cromartie. Along with Trumaine McBride and third-year man Jayron Hosley, Thurmond helps solidify the cornerback position for the Giants.
"I'm all about competition," Thurmond said. "I know they have a need here. I'm going to bring my work ethic and make the most of the opportunity they're going to give me.
"Once I came here and met the coaching staff and heard the opportunities they presented to me, I couldn't resist. It was a testament to the coaching staff. I got along with everybody, coach (Tom) Coughlin, the general manager (Jerry Reese), the DBs coaches - just great people out here."
Thurmond will be 27 when the season starts. He played in 34 regular-season games with eight starts for the Seattle Seahawks. He was limited to six games in 2011 and two in 2012 because of injuries. In 2013, Thurmond played in 12 regular-season games with three starts. He missed four games while serving a suspension for violating the NFL's substance-abuse policy. Thurmond returned for the regular-season finale vs. St. Louis and played in all three postseason games.
Demps was third in the NFL last season with a 30.1 yards per return average on 33 attempts.