Senior Guernsey politicians face a vote of no confidence over their handling of a contract for a clinical block unless they stand down voluntarily.
Chief Minister Laurie Morgan (l) and Treasury Minister Lyndon Trott
The firm with the cheapest tender for the Princess Elizabeth Hospital project pulled out.
A report claims Chief Minister Laurie Morgan is a poor leader and Treasury Minister Lyndon Trott made inaccurate and inconsistent statements.
They have not yet made any statements on the Wales Audit Office report.
'Private meeting' call
The report was ordered after a lower bid by RG Falla for a new clinical block at the hospital was withdrawn.
The company's bid for the project was £2.4m lower than the one eventually accepted and was the preferred tender.
After concerns the Policy Council had used its influence to encourage Falla to withdraw, the Welsh Audit Office was asked to carry out an investigation.
It said the States' reputation had been damaged, saying procedures for managing capital projects were inadequate, incomplete, unclear and needed urgent reform.
Mr Trott's deputy at the Treasury, Charles Parkinson, said: "I think what we need is a private meeting of deputies outside the Policy Council to discuss the accountability issues.
"We need to decide whether we still have full confidence in all the ministers in the Policy Council.
"These are not issues that I would want initially to be discused on the floor of the house."
Deputy Trott said he would make a full statement on the issue next week. Mr Morgan has not made a statement.