"I don't think that's out of my limits," Vinatieri said Thursday night.
Even at age 41, Vinatieri sees no reason he cannot continue his potential Hall of Fame career. Former NFL kicking great George Blanda kicked until he was 48 years old, Morten Andersen kicked until he was 47, and John Carney and Gary Anderson both played until they were 45.
Vinatieri proved this season that he still has a few years left in his leg, making 35 of 40 field-goal attempts and all 34 extra points for 139 points.
His 40 attempts ranked third in the league, and he was 4 of 6 on kicks from at least 50 yards and 15 of 17 on kicks between 40-49 yards.
"I'd like to do it for a while [more]," said Vinatieri, a two-time Pro Bowl kicker and four-time Super Bowl champion who is regarded as one of the most clutch kickers in NFL history.
In a perfect world, Vinatieri said he would "love" to re-sign with Indianapolis, where he has kicked since 2006. But he also is open to playing for the team that wants him most.
ESPN.com Colts reporter Mike Wells contributed to this report.