The League One club's former owners Portpin are refusing to drop their asking price for Fratton Park, an impasse which is the final stumbling block to a proposed takeover by the Pompey Supporters' Trust.
Administrators PKF want the court to force through the sale of the stadium at a lower price, allowing Pompey to exit administration and avoid the threat of expulsion from the Football League.
And a statement on the club website confirmed the latest development, adding: "As is often the case in such situations, we are unlikely to get confirmation of the exact date from the court until a few days prior to the hearing."
The court date raises the prospect of an end to an administration which has lasted more than a year.
An alternative bid for the club fronted by former Football League chairman Keith Harris has been dismissed out of hand by the League, which insists "it remains focused on a successful transfer of share to the preferred bidder, the PST."