Rapoport added that former Ohio State coordinator Greg Schiano is a possible candidate to join the New England Patriots coaching staff this offseason and could even be hired as defensive coordinator to replace Flores.
Flores is clearly the front-runner for Miami's job, with ESPN's Jeff Darlington reporting Saturday he's the candidate the Dolphins would like to hire.
Per that report, the 37-year-old's "impressive leadership skills" enticed the Dolphins:
"They did not look for somebody whose background was specific to offense or defense—but rather someone who would serve as the best head coach they could find. Flores' long-standing relationship with general manager Chris Grier made him a favorable candidate from the start, and his interview solidified their early impressions."
Flores has been with the Patriots since 2008, serving as the safeties coach for four seasons and the linebackers coach for the past three seasons. Flores also calls the plays for the defense, serving as the de facto defensive coordinator in New England.
As for Schiano, the 52-year-old coach spent the past three seasons as Ohio State's defensive coordinator and assistant head coach under Urban Meyer. New Ohio State head coach Ryan Day said Schiano would pursue coaching opportunities in the NFL:
In his coaching career, Schiano has also served as the defensive coordinator for the Miami Hurricanes (1999-00), the head coach at Rutgers (2001-11) and the head coach of the Tampa Bay Buccaneers (2012-13).
Schiano and Patriots head coach Bill Belichick have also "long had a close professional relationship," per Nihal Kolur of SI.com, with Belichick telling Albert Breer of The MMQB in 2017 that he holds "the utmost respect" for Schiano.