The Taoiseach has come under pressure from members of his own party to move to Level 2 restrictions for Christmas.
Yesterday Micheal Martin said the target is Level 3 once out of lockdown in December, so businesses can re-open.
But at a meeting of the Fianna Fail parliamentary party last night, there was a 'general consensus' to go further - allowing travel between counties and more visitors to a home.
It comes as NPHET meets later to review the current progress under Level 5.
Professor of Public Health at the University of Bristol, Gabriel Scally, says it's important not to get ahead of ourselves when reopening next month.
"It's traditionally a time when everyone goes home to their family, when people come home in very large numbers back to Ireland to spend time at home and with their families and there's got to be a lot of consideration about it.
"It would be a terrible Christmas present to the country if it prompted a huge upsurge in the new year, that would be a very bad way to start 2021."
