According to Wayne E. McGahee III of the Tallahassee Democrat, Fisher and Texas A&M came to terms Friday.
Fisher will not coach the Seminoles' regular-season finale on Saturday against Louisiana-Monroe in Tallahassee.
Texas A&M is 7-5 this season and fired head coach Kevin Sumlin.
Fisher and the Seminoles were the BCS champions after the 2013 season - the final season of the BCS era.
Yet it was the third straight year that Fisher's name was linked with a Southeastern Conference program.
After a loss to Louisville on October 21, Fisher got into a verbal altercation with a fan who kept yelling that it is time to hire new assistant coaches. So is LSU, a team that's beaten Texas A&M in every season since the Aggies joined the SEC in 2012.
Sumlin had two years remaining on his contract, which calls for a $10 million buyout to be paid within 60 days of his termination.
"Coach Fisher did an exceptional job as both an assistant coach at FSU and in the challenging role of successor to the legendary Bobby Bowden", Florida State president John Thrasher said in a statement. I believe Texas A&M is getting one of the best coaches in college football.
On ESPNU SiriusXM radio Thursday, Fisher said he was not going to talk about potential jobs. Sumlin, Oregon's Willie Taggart, South Florida's Charlie Strong and Virginia Tech's Justin Fuente are options who might be considered.
Clemson coach Dabo Swinney: "Evidently he feels like that's the right move for him and his family and the right time to do so". "Florida State is Florida State".
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