20,000 Ukrainian refugees are expected in Ireland by the end of the month, according to the Tanaiste.
So far, over 10,000 people have arrived here, and the government expects that to nearly double by the end of next week.
The State's humanitarian response to the crisis will be discussed by Cabinet this morning.
Speaking on his way into that meeting, Tanaiste Leo Varadkar admits the government will face challenges.
"We do expect to have about 20,000 Ukrainians in the country by the end of the month, and the numbers will go higher than that.
"It's absolutely the objective of the government to provide owned or self catering accommodation for everyone.
"But that is going to be a challenge and there's no point pretending otherwise."
Meanwhile the Government has been accused of "differentiating between refugees" arriving from Ukraine and elsewhere.
The Movement of Asylum seekers in Ireland says a two-tier system for managing new arrivals has emerged, with the Government said to be prioritising those fleeing the Russian invasion over other immigrants.
Founder of the group Lucky Khambule says he welcomes the State's efforts to accommodate Ukrainian refugees but more needs to be done for other new-arrivals.
"I am not criticising them for the way that they are treating our fellow Ukrainians.
"What I'm saying that there is an underlying and clear way of differentiating some refugees from the others."