Atlanta signed Thomas to a contract Thursday, Terrin Waack of the Falcons' official site reports.
Thomas spent the 2023 season on the Browns' practice squad after failing to make the 53-man roster at the end of training camp, and he spent this past spring playing with the UFL's Birmingham Stallions. The 2018 sixth-round pick last played in the NFL in 2020 with the Cardinals and Patriots, when he appeared in six regular-season games between the two teams.