Tuck said that while his preferred option would be to renew his deal with the Giants, he owes it to himself to take a look at any other offers that might be forthcoming.
"I will see what the market is for me," Tuck told the New York Post. "I've never been in this situation before, and it's a great opportunity for myself. I would be doing myself a disservice if I didn't see what the market is, and I will.
"We will sit down in a couple of weeks and see what happens, but obviously, the Giants are going to do what's best for the Giants, and vice versa with me and my family.
"I understand where they're coming from and what obstacles they have to overcome this off-season. There's no guarantee, and that's obvious. It's a business, and I understand both sides of it."
Tuck was drafted in 2005 and has played for the Giants his entire career.