He could tell the truth instead of using "making a tough decision" as a cover for leverage
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"I'm sorry the NCAA has put us all on such a stupid calendar. If you want me to be the coach at LSU, you're gonna want me to finish what I start. That's what I'm gonna do for these players at Ole Miss. If you can make that work, I'd love to be your coach. If not, I understand and wish you the best."
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LSU & Kiffin are both convinced that they're the BEST (not "better" or "upgrades") ... thus they create false urgency that the majority of the sane world can spot and can't stand
When the Buccaneers or Cowboys come calling in 3-4 years, we already know how he'll handle it