The 66-year-old has been in charge of the Giants since 2004, winning two Super Bowls during his tenure.
The Giants cornerback told NFL AM: "I thought it was this season, but I think he has one more in him. We have a great nucleus of guys and I don't think he wants to give that up.
"That passion is still burning in him. He has everybody in there all day every day in the off-season. So I think he wants to go out on top. Hopefully we can get it right and bring a Super Bowl home in Giants Stadium."
However, Giants owner John Mara told NFL.com: "I don't see him going to Florida to play shuffleboard anytime soon. I think he's still got a lot of fire left in him and he's still a great coach. Hopefully he's going to be around for many more years."
The Giants failed to make the post-season in 2012, finishing second in the NFC East.