League One Pompey have confirmed on their official website that the hearing, which was due to be held on Thursday morning, will now take place on February 14.
Two postponements have already been agreed to allow further discussions between the administrator, PKF, and the club's former owner, Balram Chainrai.
Fans' group the Pompey Supporters Trust want to take over the club but their bid hinges on PKF gaining permission to sell the Fratton Park ground, which is controlled by Chainrai.
The High Court case will set a valuation for the ground, with both parties currently unable to agree on a price.
Portsmouth have been in administration since last February and face a 10-point deduction if and when they exit.