Medicinal cannabis campaigners want the Health Service Executive (HSE) to continue to deliver the medication after the coronavirus restrictions lapse.
Over 40 licences to use the products have been prescribed nationally, and usually patients must travel to the Netherlands themselves to pick up the drug.
In other countries, distributors are nominated to collect medicinal cannabis for patients who live in other countries - however that is not the case here.
Ava Barry suffers from Dravet's Syndrome and medicinal cannabis has controlled her seizures for the past four years.
She was approved to use the treatment legally back in 2017. However the family have to travel to the Netherlands to get it.
Her mother, Vera Twomey, held a meeting in recent days via telephone with Taoiseach Micheál Martin.
She told Newstalk: "I explained to him exactly what is happening regarding the delivery of our daughter's medication.
"The Department [of Health] have decided what they would like to do is to remove delivery of Ava's medication once the COVID restrictions are lifted."
She said even after restrictions are lifted, they are very concerned about travelling to the Netherlands - or anywhere - for medication due to their daughter's health.
"We feel COVID could raise its head again at any time, it's unchartered territory with COVID, and the risk that this travelling would pose to our daughter is incredible - and we're terribly, terribly worried".
She explained that while Ava would not travel with them, they could bring the virus back to her which could "cost her her life".
"The risks associated with travelling for our family and for our daughter are unbearable".
'I hope he would see the sense of it'
Vera said she has received an e-mail about a meeting with the Health Minister Stephen Donnelly, but no date or topic has been set.
"Minister Donnelly is very, very aware of what we want to talk about - he has been contacted by numerous local politicians and other politicians up the country as well."
"I have replied to the e-mail and I have stated that we urgently need to discuss the confirmation of permanent delivery of Ava's medication".
She has called on Minister Donnelly to help protect vulnerable people.
"I would hope that he would just see the sense of it, see the humanity of putting in place a system permanently for a person like Ava who needs support.
"She not only needs the support of her family, but she also needs the support of the Government.
"She's an important person as well as anybody else in this country - she's a citizen of this country and she deserves to be treated fairly."
Other users of medical cannabis have said that Ireland needs to have an 'adult conversation' about the drug.
'Sally' told Lunchtime Live last week she takes the drug occasionally for back pain as a result of multiple sclerosis (MS).
"I find that every now and again I would smoke cannabis... because it really does help relieve the pain and inflammation that I feel in my back.
"My back is quite bad and I have MS for a few years.
"I'm an adult, I'm able to make my own decisions - I'm able to go down and buy alcohol if I want, if I want to buy 20 cigarettes I can.
"So I just think it's time that we had the adult conversation - that we say 'Look, people should be able to make their own choices' - like they do in the Netherlands and Denmark and places like that."