Yahoo Sports and ESPN have reported Mullen to be the Gator's choice.
Mullen has led Mississippi State to 69 victories with 49 loses over nine years.
Mullen has been the head coach of Mississippi State since 2009, and from 2010 to 2016, he worked with current Florida athletic director Scott Stricklin, as Stricklin was the athletic director of Mississippi State at the time.
Mullen, 45, was a part of two national championship teams at Florida in 2006 and 2008 as Urban Meyer's offensive coordinator.
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Mississippi State is reportedly set to go "all in" to keep Mullen as of Friday morning (which surely hasn't changed), and bump his salary from $4.5 million to $6 million.
The Gators went 4-7 this season for just their second losing season since 1979.
Former Gators coach Jim McElwain was sacked in late October after the team was beaten by Georgia. He has been a rumored candidate for the opening at Tennessee, also in the SEC, but Florida looks like a far better fit.
Mississippi State has won its last two bowl games, most recently defeating Miami (Ohio) in the St. Petersburg Bowl a year ago.
When the UF job opened up following Will Muschamp's 2014 firing, former Gators AD Jeremy Foley immediately ruled out Mullen and Arizona coach Rich Rodriguez as candidates. His Bulldogs played in eight-straight bowl games, which is also a program record.
No doubt, Florida fans will have a mixed reaction if Mullen ends up being the successor to Jim McElwain.