A "common sense approach" will be taken in relation to drivers who are overdue their NCT but have proof of booking, according to gardaí.
Labour TD Willie Penrose had called on the Department of Transport to re-examine the legislation that came into force last month where driving a car that has not passed an NCT will now result penalty points.
In a statement, Mr Penrose said there are often practical difficulties in getting an NCT completed in time.
A spokesperson for gardaí said this afternoon if people have a booking made and can show proof of that a common sense approach will be taken.
The Road Safety Authority has said an estimated 500,000 vehicles are due for testing at the start of the year, which they say places a significant amount of pressure on the system.
But the Authority said that there is no backlog as such with testing.
They are advising drivers that if they cannot get a suitable date on the website, they can telephone the NCT directly.
They say the vast majority of drivers are being accomodated in 14 to 28 days.
In a statement this afternoon the Authority said that overall since the new points were introduced they had seen much better compliance with the pre-existing requirement to have a vehicle tested.
They said that this is good news for road safety as it will result in a roadworthy fleet.
The Authority have said over 200,000 vehicles are overdue their NCT at the moment.
A spokesperson for the Department of Transport said there are no plans currently to review the legislation.
He said enforcement is a matter for gardaí and the Department of Justice.