Carpenter will become a free agent at the end of the campaign, which owing to the Bills' 4-9 record so far is likely to mean he will play just three more times for the team.
"My wife and I really enjoy Buffalo," Carpenter told the club's official website. "We like the people, we like the organisation, everyone's been great, the fans are great. I'm open to every option.
"I'm just worried about the next three games and what I can do. You can really only take it one kick at a time. When you look ahead, that's when you're going to screw up and have something happen that you don't want to happen.
"All I can worry about is what I'm doing today and what I'm doing tomorrow."
Before this season, Carpenter played for the Miami Dolphins.