The Religious Sisters of Charity group says it is confident the 'smooth legal transfer' of its shares in St Vincent's Healthcare Group is imminent.
It comes after the former master of the National Maternity Hospital, Dr Peter Boylan, told RTÉ that the organisation still hadn't been given permission by the Vatican to do so.
In 2017, the order announced it was to to give up ownership of the St Vincent's Healthcare Group (SVHG).
It followed outcry over ownership of the planned hospital, which is to be built on a Dublin site owned by the healthcare group.
The order's decision came amid calls to ensure the new hospital on the grounds of St Vincent's Hospital remains a secular institution.
This weekend, the religious group has said in a statement that - in line with canon law - it's required to seek formal approval of its decision from the Archbishop of Dublin and the Vatican.
They say the Archbishop has approved and recommended its decision to the Vatican for formal sign off.
They added: "We are confident of a positive outcome shortly.
"This process has not and should not delay the new hospital project in any way.
"Most importantly, it has no impact whatsoever on the healthcare provision and patient care provided by St Vincent’s Hospital."
The statement says that the transfer of the shares will "bring to an end over 180 years of service by our Sisters in providing healthcare at St Vincent’s Hospital".
Meanwhile, Fianna Fáil TD Stephen Donnelly has called on the Health Minister Simon Harris to clarify the current situation regarding the planned hospital.
He said: "We've had repeated assurances from Government that the new maternity hospital on the site at St Vincent's would be fully independent clinically.
"That is absolutely essential - there can be no question whatsoever of a state-built, state-owned, state-run, state-funded facility having to comply with canon law."