The Tánaiste Joan Burton has said there is no upper-limit to how many refugees Ireland may take.
Ireland has already exceeded its EU obligations by agreeing to take 600 asylum-seekers.
However, last week the Justice Minister Frances Fitzgerald indicated that we may take 1,800.
Ms Burton has refused to be drawn on how many could end up coming here.
She said: "I wouldn't like to put an upper limit on it, because if Europe and America and the United Kingdom - if we can get a peace settlement in Syria, then the kind of pressure will actually change.
"It will then be about helping to rebuild Syria and about helping those people who want to go home."