Those five include Boston College head coach Al Skinner, Wofford head coach Mike Young, Wright State head coach Brad Brownell, Old Dominion coach Blaine Taylor and Jacksonville head coach Cliff Warren.
All five interviews have taken place within the last 48 hours.
Sources have also told CUTigers Baylor head coach Scott Drew has also reached out to the Clemson program regarding the position as well and an interview is expected to place with him as soon as Saturday.
Drew took over a Baylor program in disarray in 2003 and helped lead the Bears to the Elite 8 this past season, where they lost to Duke, 78-71.
Baylor finished the year with a 28-8 record.
Drew, 39, has been highly thought of by Clemson athletics director Terry Don Phillips, sources say. While it would be too early to suggest he is front-runner for the position, he certainly could be among the top "two or three" on Clemson's wish list, pending the interview of course.
He also would be a natural fit because of his style - recruiting longer, athletic players and an up-tempo style.
Multiple media outlets have also reported Oklahoma head coach Jeff Capel, who has been rumored to want out of his position for well over a year, is also on Clemson's short list and could interview as soon as this weekend as well.
Sources have said Capel has wanted to return to his roots in the ACC and would be intrigued with both the jobs at Clemson and Wake Forest.
Other possibilities for the Clemson coaching job are Virginia Commonwealth's Shaka Smart, a former Clemson assistant and Western Kentucky's Ken McDonald.
Smart has publicly denied any contact with Clemson up to this point.
Drew next to interview?
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