Gridiron Now reporter John Brice was the first to report that news.
As of Friday morning there was no deal reached between Leach and Tennessee and it looks as though the search may continue.
After firing Butch Jones in mid-November, Currie unsuccessfully courted Jon Gruden, then settled for Greg Schiano, who was driven out of town by an angry mob. "He understands our history, our rich traditions, and the importance of supporting our student-athletes".
The Hall of Famer coached the Volunteers to a 1998 national title.
FILE - in this October 21, 2017, file photo, Washington State coach Mike Leach watches from the sideline during the second half of the team's NCAA college football game against Colorado in Pullman, Wash.
Reports linked Oklahoma State's Mike Gundy and Purdue's Jeff Brohm to Tennessee's vacancy, but both stayed with their respective teams. The Boilermakers (6-6) are bowl eligible for the first time since 2012. Worth reported on Twitter Thursday that Leach "is working on a deal to become the next coach at Tennessee", and that "a deal could be announced Friday". "We are hear to talk about the change in the leadership in the athletics department". If he were to leave Purdue before December 5, Brohm would owe $5 million to the university, according to ESPN.
Currie came to Tennessee earlier in 2017 from Kansas State. FootballScoop reported that Leach "seems to have a very good shot at being offered the position" and that the WSU coach "would accept the position if offered". Davenport would not take any questions on Currie or the coaching search. The Cougars lose quarterback Luke Falk and 19 other seniors after this season, and the school has already lost the athletic director who had lured Leach back into coaching after a hiatus.
Fulmer previously served as a special advisor to the Tennessee president before being hired as AD.