SIPTU has called for financial support and compensation for all health workers contracting Covid-19, including those not directly employed by the State.
The union has also called on Minister for Health Simon Harris to deliver full disclosure of which healthcare settings have seen cases of Covid-19, in order to identify "hotspots" of infection.
So far, more than 7,600 healthcare workers have contracted the virus, but not all are directly employed public servants, with the sick leave and other benefits of State employees.
The union's Health Division Organiser, Paul Bell, cited the situation of volunteers for the "Be on Call for Ireland" initiative where health workers are contracted to work via employment agencies.
"The HSE has been quick to point out that these workers are not covered by Covid-19 paid leave or 'death in service' policies," he said.
Mr Bell called for compensation for loss of salary along with State support for medical costs that may continue in the aftermath of the Covid-19 emergency.
"We also want the Government to clarify what financial, medical and rehabilitation support will be provided to health workers in the aftermath of the Covid-19 emergency," he said.
"These costs should include counselling services as it is feared that many health workers will develop Post Traumatic Stress Disorder as a result of the pandemic. This support must be afforded to all health workers," he added.
Mr Bell demanded that the Government publish a "full and transparent" breakdown of the health settings where health care workers have now tested positive for the Covid-19 virus.
He noted that since early April, when SIPTU first called for the data to be released, the number of healthcare workers who had contracted the virus had increased eight-fold.
He said SIPTU members urgently needed to know if these cases were arising in acute hospitals, nursing homes, intellectual disability residential settings, community, psychiatric or day services.
Mr Bell said the information would identify any Covid-19 "hotspots" but could also reveal whether health workers were exposed due to a lack of Personal Protective Equipment (PPE) or poor enforcement of HSE protocols.
He also said this level of disclosure would indicate how health workers were treated by their employer, and whether all those who had contracted the virus were dealt with "on a fair and equal basis".