Rangers administrators Duff and Phelps have confirmed negotiations are at a 'very advanced stage' with two parties interested in buying the club.
The Blue Knights consortium withdrew its bid for the SPL giants earlier on Friday after failing to agree a suitable deal.
However, there is still interest in the Gers after the previously nominated preferred bidder Bill Miller withdrew his offer earlier in the week.
David Whitehouse, joint administrator, said in a statement tonight: "The most important information today for Rangers supporters is that discussions with two bidding parties are at a very advanced stage and we hope to reach agreement with one at the earliest opportunity."
Whitehouse has also responded to claims from the Blue Knights that time had run out for them to effect a Company Voluntary Arrangement.
The statement continued: "It is most unusual for us to comment publicly on individual bids but due to the allegations made by Mr Kennedy and Mr Murray today with the regard to our conduct as administrators we feel compelled to reveal important facts in relation to the various Blue Knights attempts to buy the club.
"For the avoidance of doubt some of the comments made at today's press conference were grossly misleading.
"First I would state unequivocally, that every opportunity was afforded to these parties.
"The fundamental reason we could not proceed with the Blue Knights/Ticketus combination was that we were advised there was not agreement within the consortium in relation to the funding of their bid.
"Throughout the process Mr Kennedy told us repeatedly he would be the 'last man standing'. As Mr Kennedy today made a virtue of explaining publicly details of his bid we are in a position to comment on those remarks. Of the £5.5million cash on 'day one' figure Mr Kennedy quoted, £3.5million of that would be provided by us in any case from the club's debtors.
"The bid structure also factors in performance in Europe, and reaching the later stages of the UEFA Champions League which cannot be achieved next season for example.
"We therefore find it extraordinary and very disappointing that Mr Kennedy in particular should assert that the amount being offered is irrelevant. Time and again he and others have been afforded the opportunity to become the best bid in play and it has not happened. We have a statutory duty to accept the best bid that is deliverable.
"The bid should also be commercially better than the liquidation of the business. Mr Miller's bid was deliverable but he chose not to proceed. We firmly believe the best interests of the club would be served by all involved in the process respecting the bidding process."
Meanwhile, Ticketus have begun legal proceedings against Craig Whyte in a bid to recoup money owed them by Rangers.
According to a report by administrators, Ticketus are still owed £26.7m, and a statement read: "Ticketus has made demand pursuant to the guarantees provided by Craig Whyte and The Rangers FC Group Limited, formerly named Wavetower Limited.
"In addition, demand will be made against Liberty Capital Limited.
"These guarantees form part of the additional protection built into the ticket purchase agreement that Ticketus made with the club in May 2011.
"As previously stated, Ticketus will claim upon these guarantees to recover any potential shortfall in monies owed to Ticketus by the club."