The Titans are re-signing Folk to a one-year, $3.76 million contract Wednesday, Tom Pelissero of NFL Network reports.
Folk made his lone field-goal attempt in Sunday's 26-3 loss to the Texans. He did not attempt an extra point.
Folk made two of his three extra-point attempts and both of his field-goal attempts in Sunday's 31-28 overtime loss to the Colts.
Folk made all three of his field-goal attempts and his lone extra-point attempt in Thursday's 20-16 loss to the Steelers.
Folk will be the Titans' kicker heading into the season, Terry McCormick of TitanInsider.com reports.
The Titans will send a 2025 seventh-round draft pick to the Patriots in exchange for Folk, Tom Pelissero of NFL Network reports.
Folk now faces competition for the Patriots' kicking job following the selection of Chad Ryland in the fourth round of the 2023 NFL Draft, Chad Graffof The Athletic reports.
Folk made 32 of his 37 field-goal attempts this past season, while hitting 32 of his 35 extra-point tries in 17 games.
Folk converted his only field-goal try while going 2-for-3 on extra-point attempts in Sunday's 23-21 victory over the Dolphins.
Folk missed two point-after tries during Saturday's 22-18 loss to the Bengals.