The club, relegated to League 1 last week is £58m in debt and searching for new owners
“As things stand, we cannot rule out the possibility of having to liquidate the company ” Birch has said.
Thursday's meeting at Fratton Park should see the formation of a creditors' committee, which will represent the views of those owed money by the club.
Administrators PKF issued a report on 11 April to Pompey's creditors and unsecured creditors will be asked to accept the contents of the report. The meeting will also give creditors a chance to air their views to the administrator.
Birch added that he had "several interested parties" looking at buying the club but that he was still awaiting a firm offer, with liquidation still a distinct possibility.
"It would be irresponsible to claim otherwise. However, we want the club to have a sustainable long-term future and are working hard to make this vision a reality."
Pompey's administrator will also give an update on the club's future at Thursday's meeting with creditors.
"We continue to believe that we can find a buyer for the club before the money runs out and are doing everything we can to achieve this," said Birch.
"It's what the club's supporters, staff and players deserve after the turbulence and uncertainty of the past few years. It will also result in the best possible outcome for the creditors as whole, in our view."