The running back is a free agent after the Giants decided to release the 28-year-old after six seasons with the side.
Bradshaw told NFL AM: "In playing with the Giants, they had mentioned that there was a chance for me to come back. I'm always up for that.
"Whatever, whoever needs me, whoever can use me. Whoever I feel that I can get a better chance of playing and helping which team.
"The New York Jets are a team that I've kinda been thinking about, just to stay home, not make a big move from New York. It's just right across the street from where I am now."
Bradshaw spent much of the 2012 season playing through a foot injury, rushing for 1,015 yards and six touchdowns.