It follows confirmation of 14 cases of the virus in Ireland.
The HSE is investigating another possible case of measles in the midlands.
There are 14 confirmed cases of the virus, and two outbreaks, in Ireland, according to the latest data from the Health Protection Surveillance Centre.
On top of that, the Health Service is investigating another ten potential cases, one of which is in the midlands, with seven in the east and two in the south-east.
It says both outbreaks are in private houses, with four confirmed cases in one and three confirmed cases in the other.
Measles led to the death of a man in Westmeath earlier this year.
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