Fuller, 24, was taken in the seventh-round of the 2016 NFL draft. He signed a four-year, $2.41 million rookie contract and made a base salary of $630,000 for the 2017 season.
The Falcons waived Fuller with an injury designation last summer and he later reverted to their injured reserve list.
During his college career at UCLA, Fuller caught 146 passes for 1,322 yards receiving and 10 touchdowns over the course of four seasons and 44 games played.
Fuller has yet to appear in an NFL game.