While not directly linking the move with the outbreak of the coronavirus, the hospital says the move is to minimise the spread of infection and in the interests of patient safety.
Exceptions to the ban include parents visiting children in hospital, partners of women attending the maternity hospital, people visiting patients at end of life, people assisting confused patients such as those with dementia and individuals visiting those in critical care.
Patients in any other area of the Emergency Department or the wider hospital are not considered to be contacts.
The sites affected are University Hospital Limerick, University Maternity Hospital Limerick, St John's Hospital, Nenagh Hospital, Ennis Hospital and Croom Orthopaedic Hospital.
The above exemptions are limited to one person per patient only.
60 staff at Cork University Hospital have been placed in self-isolation after a case of Coronavirus at the hospital.
"We are appealing to members of the public to co-operate with these necessary restrictions".
Patients who attended a small number of other health services are also being contacted by public health in line with procedure.
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Meanwhile, a section of Trinity College Dublin's campus will be closed as a precautionary measure as a case of Covid-19 is connected with the campus.
Management at the South/South West Hospital Group have requested that, where appropriate, the public contact their GP or Southdoc in the first instance and explore all other options available to them prior to presenting to emergency departments in the city if their needs are not urgent.
This brings to 13 the number of confirmed coronavirus cases in the country to date.
A statement said: "The Chief Medical Officer in the Department of Health has advised that the Covid-19 virus is still in containment phase".
The Health Protection Surveillance Centre has this Friday evening been informed of five new confirmed coronavirus cases in Ireland.
Confirmed cases of Covid-19 in the Republic more than doubled yesterday with the first case of community transmission also confirmed.
"We want to assure you that work is well advanced on contact tracing - this means that we are in the process of identifying contacts of the patient".
One case, a female in the south of Ireland, a healthcare worker is associated with close contact with a confirmed case.