The Jets and Perriman agreed to a one-year contract Tuesday, Adam Schefter of ESPN reports.
Perriman secured five of eight targets 134 yards and a touchdown in the Buccaneers' 28-22 overtime loss to the Falcons on Sunday.
Perriman caught seven of 12 targets for 102 yards in Saturday's 23-20 loss to the Texans.
Perriman secured five of six targets for 113 yards and three touchdowns in the Buccaneers' 38-17 win over the Lions on Sunday. He also rushed once for three yards.
Perriman is slated to slot in as the Buccaneers' No. 2 receiver if Mike Evans (hamstring) misses the rest of the season, as reported by Jeremy Fowler of ESPN on Tuesday.
Perriman secured three of five targets for 70 yards and a touchdown in the Buccaneers' 38-35 win over the Colts on Sunday.
Perriman brought in five of six targets for 87 yards in the Buccaneers' 28-11 win over the Jaguars on Sunday.
Perriman secured his only target for 44 yards in the Buccaneers' 35-22 win over the Falcons on Sunday.
Perriman brought in one of three targets for 20 yards in the Buccaneers' 34-17 loss to the Saints on Sunday.
Perriman brought in four of eight targets for 42 yards and a touchdown in the Buccaneers' 40-34 overtime loss to the Seahawks on Sunday.