Sinn Féin TD Matt Carthy has called for a stockpile of generators to be made available so that vulnerable patients are not left without electricity in the event of a future storm.
It comes as ESB Networks confirmed that approximately 3,500 homes and businesses remain without power following Storm Éowyn.
Mr Carthy also said every water treatment plant, public or group scheme, should have a generator to ensure water supplies are never again cut off.
Speaking on RTÉ's Saturday with Colm Ó Mongain the Sinn Féin spokesperson for justice, home affairs and migration said he knew of a number of people who are dependent on dialysis that "were extremely concerned", especially as it rolled into day five of the power outage.
It is now 15 days since Storm Éowyn swept across the country.
"I was dealing with one particular family in my constituency six days in where an adult member of the family is suffering from motor neuron disease and depending on electrics for communicating, for moving, in terms of a wheelchair, and was essentially made immobile," he added.
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Mr Carthy said there should be sufficient provision of generators at a statewide level to cover all these eventualities.
Meanwhile, the infrastructure sub-group of the National Emergency Co-ordination Group (NECG) said it identified the need for large capacity generator support.
It said Ireland has been actively working with colleagues in the EU Civil Protection Mechanism since 22 January and has since been offered 12 generators from Poland from the RescEU stockpile along with four other generators from Denmark.

The NECG said these generators have been deployed to support Uisce Éireann and telecommunications infrastructure.
The group said skilled technicians from Austria, Finland, Britain, Germany and Norway are continuing to work on the ground in the worst impacted areas.
They are supporting over 2,500 local ESB Networks crews and partner contractors who have been bolstered by colleagues from the south and east of the country, as well as retirees.
In addition to the crews deployed, over 1,300 support staff are involved in overseeing damage assessment, emergency call management, logistics and network operations, the NECG said.
Uisce Éireann is working to restore water to the final few customers who remain without supply with nearly all customers now having their water supply restored across the country.
On a local level, the NECG said that Local Coordination Groups remain in place in ten local authority areas.
There are 142 Emergency Response Hubs currently operational, down from a high of 380, with 25 hubs still in operation in Roscommon and 19 in operation in Galway County.
In a statement, the NECG added that it met today and is continuing to coordinate efforts to restore power, water, telecommunications and other services following Storm Éowyn.