The Health Service Executive says the majority of people on Inis Oírr have now been screened for tuberculosis.
All residents on the smallest of the Aran Islands were offered testing, after a number of cases of the disease were identified there in recent months.
The screening programme began in mid-February.
The HSE says the island is now probably the safest place in Ireland in terms of TB.
It says the risk of transmission is likely to be less there than anywhere else.
Islanders were initially checked with a Mantoux test - a straightforward skin test that detects the presence of TB.
Those deemed to require further examination have been informed and if these checks prove positive, antibiotic treatment will follow.
A breakdown of the exact number of cases to have been identified is not being provided due to the small population involved.
The most recent data from the Health Protection Surveillance Centre shows that 64 cases of TB were confirmed nationwide in the first eight weeks of the year, up from 57 for the same period in 2012.