Lawrence (undisclosed) passed his physical and returned to the active roster Friday.
The Browns waived Lawrence on Tuesday.
Lawrence will start in place of Larry Ogunjobi (suspension) in the team's Week 12 contest against the Dolphins, Mary Kay Cabot of The Cleveland Plain Dealer reports.
Lawrence finished Sunday's impressive road win in Baltimore with a solo tackle and an interception.
Lawrence (personal) was a full participant in Thursday's practice, Mary Kay Cabot of The Cleveland Plain Dealer reports.
Lawrence saw 19 defensive snaps in Saturday's preseason loss to the Browns.
Lawrence is day-to-day with a knee injury, Scott Petrak of the Elyria Chronicle-Telegram reports.
Lawrence signed a reserve/future contract with the Browns.
The Saints traded Lawrence to the Browns for a 2019 seventh-round pick, Andrew Gribble of Cleveland's official site reports.
Lawrence recorded two tackles during Friday's preseason game against the Cardinals.