McDaniels, 39, has been credited with adapting the Patriots' offense around injuries that depleted their offensive line and receiving corps and is a coveted candidate for this year's head-coaching vacancies.
McDaniels has been the the Patriots' offensive coordinator since 2012, when he returned to the organization with which he began his coaching career before becoming the Denver Broncos' head coach in 2009.
McDaniels was fired as the Broncos' coach in 2010 and was the St. Louis Rams' offensive coordinator in 2011.
He was let go by the Broncos with four games left in the 2011 regular season. After the team won the first six games of McDaniels' rookie season as coach, it lost 17 of the last 22, and it also had several issues off the field.
McDaniels also was fined $50,000 by the NFL after a videographer violated league rules by videotaping a San Francisco 49ers practice in London in October of the 2010 season.
The Titans fired head coach Ken Whisenhunt in November, less than two years into his tenure after the team started the season 1-6 with No. 2 overall pick Marcus Mariota starting at quarterback. Mike Mularkey finished out the season as the team's interim head coach, and the team said this week that he would be considered as a candidate for the permanent position.
Mariota finished his rookie season completing 62.2 percent of his passes for 2,818 yards with 19 touchdowns and 10 interceptions in 12 games. He missed four games because of a knee injury.
The Titans finished 3-13 and own the No. 1 overall pick in the 2016 NFL draft.