Detroit will receive a 2019 sixth-round pick from New England in the deal, ESPN's Adam Schefter reported.
The 27-year-old Bademosi is expected to be used primarily as a special teamer in New England.
Bademosi is entering his sixth NFL season after joining the Cleveland Browns in 2012 as an undrafted free agent out of Stanford. He spent his first four seasons with the Browns before signing a two-year, $4.5 million contract with the Lions before last season.
Last season in Detroit, Bademosi had 22 tackles, a career-high five passes defensed and his lone interception as a pro in 16 games. He has 93 tackles and eight passes defensed over 78 career games.