Three staff members at the State's refugee applications centre on Dublin's Lower Mount Street have tested positive in an initial screening programme for TB.
Further tests, including X-rays, will be carried out to see if the results are valid.
The preliminary programme for which staff tested positive indicates only if a person recently has been exposed to TB.
The workers are said to have become extremely concerned earlier this week that the test results would indicate that they, too, were infected with the highly contagious condition, but after the issue was raised with the Eastern Health Board, a medical specialist visited the centre and allayed many of their fears.
They were especially worried that they were at particular risk because they deal every day with refugees and asylum-seekers, some of whom enter the State from countries where TB is endemic.
Up to 16 per cent of those who tested positive for TB in the Eastern Health Board region in 1998 were non-nationals, according to recent figures released by the board.
A SIPTU official, representing some staff, told The Irish Times that workers were worried about the possibility of becoming infected with TB and other infectious diseases following the release of results of the initial screening programme.
But last night the board said it had no information that any of its staff at the centre had TB.