Two antigen testing centres - one at Dublin Airport and another in Gorey in Co Wexford - are opening to facilitate commercial drivers travelling to France.
The Government is urging hauliers to pre-book the free test before they travel.
The advice has been issued because of a new French requirement for people arriving into the country to have proof of receiving a negative Covid test.
Results are expected to be ready within an hour of testing. More centres will open in the coming days.
But the president of the Irish Road Haulage Association has criticised the lack of antigen test centres open to facilitate drivers travelling to France.
He said the pre-booking system is "nonsense" and a third facility should already be in place.
Eugene Drennan told Morning Ireland that two test centres in Dublin and Gorey are not enough and the location of the centre in Gorey is likely to lead to tailbacks and delays.
Mr Drennan said that there are 1,000 units leaving Ireland from Rosslare this weekend and traffic from Limerick, Cork, Galway and Mayo will have to detour from Wexford to Gorey to access the antigen test centre.
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He said that "we should be ready" given the nature of the business. Testing requires big, open areas and ease of access to Rosslare port, which is not the situation with the centre in Gorey, he added.
Mr Drennan said that the UK landbridge is "washed out" and Irish-UK traffic is down to 20-30% of normal traffic.
He said that it is a "nightmare" trying to deal with a lot of issues and trouble with paperwork and repetitive paperwork to ensure access of everyday food supplies into Ireland.
Hauliers are due to meet customs officials on Friday to see if the situation can be improved.
The IRHA chief said that "we have to do it better" and streamline efficiencies so that trade with the UK goes more smoothly.