Brice is also reportedly drawing interest from the Tampa Bay Buccaneers.
The Packers elected not to tender Brice, who was set up to be a restricted free agent this year.
Brice, 24, wound up signing on with the Packers as an undrafted free agent out of Louisiana Tech in May of 2016. He has managed to make the 53-man roster in each of his three seasons in the NFL.
Brice finished his three-year, $1.62 million rookie contract. He is now testing the open market for the first time in his career.
In 2018, Brice appeared in 14 games for the Packers and recorded 50 tackles, one sack, no interceptions, and two pass defenses.