Patricia was one of six candidates who were known to have interviewed for the Lions' position. Patricia has a strong relationship with Detroit general manager Bob Quinn, the Patriots' former director of pro scouting.
The Lions will have to wait until after New England's playoff run before working on contract details with Patricia. The Patriots will host the AFC title game next weekend.
Patricia, 43, has been with the Patriots since 2004, elevated to defensive coordinator in 2012. He has also been linked to the New York Giants' head coaching vacancy this offseason.