Neasman, 28, wound up signing on with the Falcons as an undrafted free agent out of Florida Atlantic back in 2016. He was cut loose at the start of the 2016 season and later signed to the Falcons practice squad.
The Falcons declined to tender him a qualifying offer in 2018 and he later signed on with the Saints. Neasman returned to the Falcons last year.
In 2019, Neasman appeared in 15 games for the Falcons and recorded two tackles and a fumble recovery.