Peterson is reaching the end of a Hall of Fame career.
According to ESPN.com, the former Vikings running back is scheduled to meet with the Patriots on Monday.
Peterson, 32, played just three games last season because of a torn meniscus suffered on September 18.
Pacers legend George McGinnis elected to Basketball Hall of Fame
The 2017 Naismith Memorial Basketball Hall of Fame class will include Tracy McGrady , Bill Self and Rebecca Lobo, among others. After playing a year at IU, McGinnis joined the Pacers where he played a big role in the team winning the 1972 and 1973.
Adrian Peterson, eternal free agent. However, with the Patriots in need of a power back with LeGarrette Blount unlikely to be re-signed, Peterson could be a fit as a role player in New England's offense.
Adrian Peterson is getting a closer look from the defending Super Bowl champions. Peterson could end up being the ideal replacement for LeGarrette Blount, who wasn't re-signed after his contract expired following the 2016 season.
Peterson, 32, has battled injuries the last couple of years, but is one of the best running backs in the last decade. Even though Blount had a good season for the Patriots, they don't appear to be in a rush to bring him back. With Dion Lewis, James White, and Burkhead, the Patriots lack a between the tackles runner. After returning for Minnesota's Week 15 loss to the Indianapolis Colts, he was out for the team's final two games. But in 2015, Peterson bounced back from the ACL tear by leading the league in rushing yards (1,485) and rushing touchdowns (11).