The Chief Medical Officer says it's hoped testing of close contacts can resume as soon as possible.
The practice was put on hold at the end of last year due to pressure on the testing system.
The HSE has said cases may have to drop below 2 thousand a day before it reconsiders the measure.
Last night, 2,121 new cases were confirmed with 8 additional deaths.
Chief Medical Officer Dr Tony Holohan says the plan is for close contact testing to resume as quickly as possible.
"We want to reintroduce that now as soon as we possibly can, so when we have if I can say 'the headroom' within our testing capacity to reintroduce that testing initially focussed on day a week testing, and to move that beyond - as I'm sure you're aware we're one of the few European countries with testing on day zero and day seven, and we're looking at reintroducing that."
