Mosley signed a new two-year, $17.25 million contract with the Jets on Thursday, Rich Cimini of ESPN.com reports.
Mosley finished the 2023 season with 152 tackles (81 solo) and seven passes defensed.
Mosley recorded eight tackles (four solo), a forced fumble and a fumble recovery in Thursday's 37-20 loss at Cleveland.
Mosley had 14 tackles (nine solo) and a pass defensed in Friday's 34-13 loss to the Dolphins.
Mosley had 14 tackles (five solo) in Sunday's 16-12 loss to the Raiders.
Mosley notched 11 tackles (six solo) in Monday's 27-6 loss to the Chargers.
Mosley had 12 tackles (seven solo) including 0.5 sacks in Sunday's 13-10 overtime win over the Giants.
Mosley recorded nine tackles (eight solo) and a pass defensed in Sunday's 20-14 win over the Eagles.
Mosley registered 10 tackles (seven solo) in Sunday's 15-10 loss to the Patriots.
Mosley had nine tackles (five solo), including one tackle for loss, while adding one pass defensed and one quarterback hit in Sunday's 30-10 loss to Dallas.