Well good news, it seems...
Just a few days after that story was released, joint administrator Nick Dargan released an official statement which said that all parties agreed to a repayment plan with the stadium loan creditors. He also said that there would be a meeting at the Walkers Stadium on Jan 15 between the administrators, Lineker's consortium, parties representing all other creditors, and any season ticket holders that would like to attend. Dargan said that it appears as though all sides will agree to the repayment deal that they had been working on, and if it is accepted, then the club can get taken out of administration 28 days later.
Looks like Lineker's consortium can take over the club within two months if everything works out. I'd imagine, however, that they'd really need Premiership revenues to help repay those massive debts.