The Irish Nurses and Midwives' Organisation has described as "constructive" this morning's meeting with management at Tallaght Hospital to discuss concerns about staffing levels and overcrowding.
INMO Industrial Relations Officer Derek Reilly said management had agreed to recruit an additional ten nursing staff from Monday and to improve the discharge of patients at weekends to free up beds.
Speaking on RTÉ's News at One, he said a further 19 staff are to be recruited to work in critical care areas and that a relief panel has been formed.
Tallaght Hospital is expected to recruit some staff who lost jobs with the closure of Mount Carmel.
The INMO is to meet its members at the hospital next Wednesday to review the situation.
SIPTU has welcomed the plans to increase staff numbers.
As part of its operational plan to deal with overcrowding, the hospital has re-scheduled nine non-urgent elective procedures and six non-urgent surgical day cases, out of 21 scheduled patient treatments today.
Mr Reilly said he took no pleasure in scaremongering but said that Tallaght Hospital would remain unsafe until more nursing staff are employed and that general overcrowding had to be dealt with.
He said a long-term solution was required and that management needed to be pro-active in tackling overcrowding and recruitment.
Separately, INMO members at University Hospital Limerick said there were 36 patients on trolleys today.
The union described the situation as "chaotic" and called for action to deal with concerns for patient safety.
Two years ago, nurses at the hospital took industrial action over the issue.
Tallaght Hospital earlier said there were 11 patients on trolleys in its emergency department and none on the wards.
It expected that number to reduce as the day progresses.
Mr Reilly said there was also overcrowding at Beaumont Hospital, the Mater Hospital and Connolly Hospital Blanchardstown.