A health expert says it's now time to weigh up the benefits and risks of continuing to have travel restrictions in place.
At the moment, the travel limit is due to be extended from 5 km to 20 km if restrictions are eased again on June 8th.
However, the Sunday Independent reports the Government is now considering scrapping the 20 km limit at the beginning of phase three on June 29th, three weeks earlier than currently planned.
It comes as the daily number of new COVID-19 cases in the Republic has now remained below 100 for over a week.
Yesterday's figures saw 59 new cases confirmed, as well as nine further coronavirus-related deaths.
Prof Mary Horgan - a Consultant Physician in Infectious Diseases at Cork University Hospital - spoke to Newstalk Breakfast with Susan Keogh about the figures we've been seeing recently.
She said: "I think we're doing very well. A lot of the time the test results reflect people who tested positive several days ago, so it depends on how it's reported.
"But we've been consistently at a low rate - certainly under 100 - for the past week. Unfortunately there have been more deaths - and just to acknowledge these are all people with families - but thankfully the death rate has continued to be very low.
"We haven't see any surge, and we would have anticipated that two weeks into the lifting - albeit mild lifting - of restrictions. So that's good news."
Prof Horgan said the travel restrictions have played a purpose in controlling the virus at the peak of the pandemic, but it's now time to look at the benefits and drawbacks of continuing to have them in place.
She pointed out that restrictions such as the initial 2km limit can impact people differently depending on where they live.
She observed: "If you're living in somewhere like Killybegs, 2km doesn't get you very far... whereas if you're living in a city... 2km is a lot of distance.
"I think we're at the point of seeing what are the benefits and risks of continuing a very narrow ability to travel.
"The people of the country have been fantastic, but we do need to see the evidence of us continuing to be restricted - and if the benefits of lifting restrictions outweigh the risk for our economy and society."
She also said it's vital that non-COVID health services resume as soon as possible, as we "need to mind everyone in the country".