Verner was a standout player for the Titans defense last season as he made 23 pass defensed and caught five interceptions in a breakout year during his fourth season in the NFL.
Tennessee are not looking to pay big for Verner though, and he's set to become a free agent, with several NFL teams lining up as interested suitors for the corner.
The Patriots are in need of a premier cornerback as it's understood that Aqib Talib will leave New England during free agency.
Pats Ben Volin beat writer explained, "RT @MadDogRadio: Verner: "(New England) is definitely a possibility.. Jason's brother (Devin) has been lobbying for me (to join Patriots)"
They won't be alone in the pursuit of Verner though with the Jets likely to said to be interested as well.
Gang Green have released Antonio Cromartie, which has left a hole that needs to be filled, with Verner acting as the perfect replacement according to sources.