The Pompey Supporters Trust's bid hinges on administrators PKF gaining permission to sell Fratton Park, which is controlled by former Portsmouth owner Balram Chainrai.
PKF and Chainrai's company Portpin were due in the High Court on Tuesday but the saga is now set to rumble on at least until the end of the month.
An initial hearing was also postponed last month to allow further discussions to take place.
But the PST say the latest delay will enable them to purchase Fratton Park as soon as they complete their proposed takeover.
PST chairman Ashley Brown said: "Our original wish was to buy Fratton Park ourselves and we are optimistic that we will be able to achieve this, which of course is what the fans want.
"However, the single most important thing our supporters can do to help achieve this objective is to convert their pledges or buy a share if they have not yet done so, either as individuals or in syndicates.
"All money is held in an escrow account and will only be used should the bid proceed, as we all hope it will. The more cash we can raise before the final court hearing, the better our chances of success. It is as simple as that."