The 36-year-old Fitzpatrick has a 50-75-1 record as a starter for seven NFL teams. He started seven games for Tampa Bay last year and had a passer rating of 100.4, which ranked ninth in the league.
The Dolphins traded Tannehill on Friday to the Tennessee Titans in a deal that also involved draft picks. Tannehill became Miami’s starting quarterback as a rookie in 2012 and never took a snap in the postseason.
New coach Brian Flores and the Dolphins remain in the market for their quarterback of the future and are expected to draft one in the first round either this year or next.