Health Minister James Reilly has said that the HSE inquiry into Savita Halappanavar's death will proceed without her husband's co-operation.
Minister Reilly said that it is regrettable that Praveen Halappanavar has decided not to engage with the investigation at this stage.
The Minister also said that he has requested an interim report into the circumstances of the 31-year-old's death be presented before Christmas.
Taoiseach Enda Kenny appealed in the Dáil earlier to Mr Halappanavar to meet with the chairperson of the HSE inquiry.
However speaking in an interview to be broadcast on RTÉ's 'Prime Time' tonight, he rejected the call.
"With due respect to the head of the inquiry and the Taoiseach, we won't partake in the inquiry by the HSE," he said.
"We want a public inquiry."
Minister Reilly, speaking at the North South Ministerial Council in Armagh, said that the investigation is going ahead, but he hoped that Mr Halappanavar reconsiders.
"There may come a point where obviously we won't have the completeness of information without Mr Halappanavar's input, and to me, that will be regrettable,
"But I want to get the investigation to that point at least, before we have any further public discourse on the matter."
The inquiry chairperson will soon announce the three new members of the panel, replacing staff from University Hospital Galway.
It is expected that one of the new members will be from the UK.