The group says a person living in direct provision has tested positive for Covid-19.
Asylum seekers say elderly people and those with health issues in direct provision should be given an option to isolate themselves.
The Movement of Asylum Seekers has written to Minister for Justice Charlie Flanagan asking for alternative housing to be found during the pandemic.
The group says one person living in direct provision has tested positive for Covid-19 after being taken to hospital.
MASI spokesman Bulelani Mfaco says the people he's spoken to are very concerned:
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