Paysinger, 27, wound up signing on with the Giants as an undrafted free agent out of Oregon back in 2011. He spent four years in New York before signing a one-year deal with the Dolphins last year.
Paysinger is once again testing the open market as an unrestricted free agent.
In 2015, Paysinger appeared in 14 games and recorded 24 tackles for the Dolphins.
Morgan, 28, signed on with the Seahawks as an undrafted free agent out of USC back in 2011. He spent four years in Seattle and is testing the open market for the first time as an unrestricted free agent.
In 2015, Morgan appeared in 14 games for the Seahawks and recorded 17 tackles and a sack.