Jennings had agreed to a three-year contract with the Patriots, Ian Rapoport of NFL Network reports.
Jennings tallied 66 tackles (49 solo), 1.5 sacks and one fumble recovery across 15 regular-season appearances with the Patriots in 2023.
Jennings (wrist) played in the Patriots' preseason game against the Titans on Friday, Jordy McElroy of Patriots Wire reports.
Jennings left Monday's practice early after suffering an apparent wrist injury, Zack Cox of NESN.com reports.
Jennings (undisclosed) participated in OTAs and minicamp after spending the entire 2021 campaign on injured reserve, Andrew Callahan of the Boston Herald reports.
The Patriots placed Jennings (undisclosed) on injured reserve Wednesday.
Jennings (shoulder) is inactive for Sunday's game against the Jets.
The Patriots selected Jennings in the third round of the 2020 NFL Draft, 87th overall.