Cabinet ministers are likely to discuss changes to the quarantine rules for people coming from the UK amid concerns about the Delta variant of Covid-19.
Ministers here are considering extending the quarantine period for unvaccinated passengers from Britain.
They currently have to quarantine at home but can leave after five days with a second negative PCR test.
People Before Profit TD Paul Murphy has called for mandatory hotel quarantine to be introduced for all travellers coming from the UK.
Mr Murphy says: "What we need to do is temporarily introduce mandatory hotel quarantine for people travelling if they're from England, Scotland, and Wales.
"That only needs to happen for a couple of months for us to get ahead and to get the vaccinations done."
Fully vaccinated people will potentially be allowed to arrive in Ireland without any sort of quarantine.
While those without two doses of vaccine could have to self-quarantine for 10 days even with a negative test.
Sinn Féin's Health Spokesman David Cullinane says it is not the ideal system.
"We've never said that home quarantine is the only solution.
"It has to be part of a match with both PCR testing and, as I've said a number of times already, we want to see the introduction of serial antigen testing.
"I think that would be a better response from public health perspective, than tinkering with the home quarantine system."
The deputy chief medical officer says public health officials are worried about the Delta variant of Covid-19.
The Government will continue to consider possible travel restrictions with Britain, where it is believed the Delta variant, which first originated in India, makes up around 90% of new Covid-19 cases.
Speaking to Beat 102-103 news, Dr Ronan Glynn, says unvaccinated people have to remain vigilant.
"One thing that we're particularly concerned about is the Delta variant, and what impact that may have over the coming weeks," Dr Glynn says.
"We're very keen for people, particularly people who have not been vaccinated, continue to follow the basic messages so that we don't run into trouble over the coming weeks."
Meanwhile, a university professor of Applied Pathogen Ecology at University College Cork (UCC) has urged the Government to consider hotel quarantining for travellers from Britain.
UCC Professor Gerry Kileen, co-founder of Independent Scientific Advocacy Group (ISAG) which advocates for Zero Covid, says hotel quarantine needs to be considered.
Prof Kileen told Newstalk: "What we really need is consistent and carefully managed quarantine, which means unfortunately in a hotel, really something that's been urgently needed for a long time.
"We did it for P1 from Brazil and that worked but we're kind of running out of time to stop a surge of Delta."