The government will consider accelerating the lifting of restrictions if the number of new cases continues to decline.
Some aspects of phase 4 on July 20th could be brought forward to phase 3 on June 29th.
The Irish Times' report comes after another four people with coronavirus died in the Republic, bringing the death toll to 1,608.
57 new cases have been diagnosed and the total number of positive tests has reached 24,639.
Irish Coast Guard, RNLI and Water Safety Ireland urge everyone to 'Unite to Turn the Tide
July has been one of the busiest months in years for rescue services, with warm weather bringing more people to Wicklow beaches, rivers and lakes.
Bray Wanderers Head To Cobh Amid Apparent Cross-Channel Interest In Seagulls Talent
New Laws Boost Protection In Wicklow Mountains National Park
A dedicated National Parks Bill will put nature conservation first and help manage growing visitor numbers.
Woman Dies In Waters At Wicklow Beach
The incident occurred on the outskirts of Wicklow town, near the Blainroe golf club.
Wicklow Housing Remains Ireland's Most Expensive Outside Dublin
Strong demand, low vacancy and limited housing stock are keeping county prices elevated.
8:00pm - 10:00pm
Love Songs on the Coast
Light rain
High: 22°C | Low: 17°C
Sunny intervals
High: 23°C | Low: 16°C
Medium-level cloud
High: 23°C | Low: 16°C
Light rain
High: 22°C | Low: 16°C
Medium-level cloud
High: 23°C | Low: 17°C