Taoiseach Micheál Martin has indicated that the Government will look at increasing attendances at next month's All-Ireland finals and semi-finals.
The announcement is likely to come next week from Minister Jack Chambers.
Regarding the relaxing of restrictions over the coming weeks, Micheál Martin said that it will be a case of "steady as she goes" as Government don't want to risk a "derailment" of what has already opened.
Speaking on a visit to the Swords vaccination centre in north Dublin, Mr Martin said he is cautiously positive with how things are going.
The Taoiseach said the Government were in discussion with the GAA and the FAI.
He said the Government is looking at a small number of major sporting fixtures left in August, and that we can look forward to increasing the numbers allowed in Croke Park from the current limit of 18,000.
However, he said the organisation must operate within the guidance of public health authorities.
Speaking on RTÉ's Morning Ireland, he said: "We would obviously hope we would be able to increase attendances for the [All-Ireland] semi-finals and finals but we will have 18,000 people in Croke Park this weekend."
After this weekend there are only six matches remaining between the All-Ireland football and hurling championships, semi-finals in both and the two All-Ireland finals.
The Taoiseach also congratulated Fintan McCarthy and Paul O'Donovan on their gold medal victory in the lightweight double sculls, which he said has "lifted hearts of the Irish people".
Asked if the Government is looking at increasing crowd numbers for the All-Ireland finals, Taoiseach @MichealMartinTD joked 'Depends whether Cork get through or not', before confirming permitting larger crowds for various events is being considered | https://t.co/mnIsW9drUj pic.twitter.com/vGk9x6H79w— RTÉ News (@rtenews) July 29, 2021