The former Steeler is also being courted by the Cardinals.
Green Bay only gave him the lowest RFA tender, securing their right to match, but not giving them any draft pick compensation if they don’t.
Kuhn had just 8 carries for 10 yards and one TD last season. He also had 4 receptions for 21 yards and two TDs.
Green Bay’s running game ranked 17th overall last year.
In other Bengals news today the team announced the re-signings of Darryl Blackstock and Orien Harris.