ESPN reported earlier Monday that Tebow will sign with the Patriots.
The AP could not confirm whether the team plans to sign Tebow.
One of the NFL's most polarizing players, Tebow spent a lost season in 2012 with the New York Jets, barely playing behind struggling starter Mark Sanchez.
Tebow was released in April.
A first-round draft pick 2010 by Denver, Tebow helped the Broncos win the AFC West in 2011, then was traded to New York when Denver signed Peyton Manning.