The government has been asked to consider bringing in mandatory hotel quarantine for people traveling here from the UK.
It comes amid concerns about the Delta variant of COVID - which is more transmissible and has become dominant there.
Ministers will discuss potential further restrictions on mandatory home quarantine for people coming from the United Kingdom.
People Before Profit TD Paul Murphy says mandatory hotel quarantine is what's needed.
Meanwhile the British Prime Minister has confirmed the further lifting of lockdown in England is being delayed by four weeks.
It pushes so-called 'freedom day' back to 19th July.
Until then, nightclubs will remain closed, and current restrictions on capacity at pubs, theatres and cinemas will remain in place.
Boris Johnson says cases of the Delta - or Indian - variant are rising, and so are hospital admissions.