New emergency powers to restrict people's movement will expire after the weekend.
People continually flouting the social distancing laws could face a fine of 2,500 euro or a six month jail sentence.
Senior official at the Department of the Taoiseach Liz Canavan says people need to stick to the 2km restrictions.
"Enforcement has and will continue to be a last resort, and used sparingly.
"We need to be fair to everyone who is making an effort, especially those who are cocooned.
"The impact of what we all do together is greater than the sum of what we can do individually.
"We need to stick to the Chief Medical Officer's advice."