Fans say that all the time, but it's rarely the case. Those with money don't toss it around for football coaches, most of the time. I know a few 'big time' donors from the University of Alabama - they're RABID football fans but none of them are interested in donating more just for the football program. They give enough already. Now if they need a new library or want to rebuild a building for the actual student body, these guys line up.
Every SEC school has tons of big money donors - there's a reason they nearly always wait to replace these coaches.
That said, DD has at least another year - UT would be stupid to fire him now. What successful coach would want to go to a school that's on its third coaching search in four years?