Lorig, 27 has been with the Buccaneers for four seasons.
Lorig is a 6-foot-4, 250-pounder from Stanford.
He caught 11 passes for 47 yards last season. For his career, Lorig has 30 catches for 193 yards and one touchdown.
The Saints haven't re-signed fullback Jed Collins, who wasn't tendered as a restricted free agent.
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Aaron Wilson covers the Ravens for The Baltimore Sun