Hill is entering the final year of his contract, and Giovani Bernard is recovering from a torn ACL suffered Nov. 20.
Hill, who also went to LSU, said he knows Fournette well and would welcome a chance to be teammates.
“I would love to play with him,” he said. “It would be a great backfield attack with us three. It’d be amazing.”
Hill, who averaged 3.8 yards per carry in 2016 and 3.6 in 2015 after a breakout rookie season that saw him gain 5.1 per rush, said he’s been working on his strength and agility this offseason with the goal of raising his yards per carry.