The three Government leaders will meet on Tuesday to discuss junior ministerial appointments.
All junior ministers will be appointed after Wednesday's Cabinet meeting, with the three super junior ministers who sit at Cabinet already having been reappointed at the weekend.
There is speculation the Taoiseach will announce a new junior minister with responsibility for refugees.
Doras, the migrants rights group, said it would be a welcome move and put a greater focus on the plight of refugees in Ireland.
Doras chief executive John Lannon told Newstalk: "There is a lot of work that needs to be done in terms of the reception, the accommodation and the integration of refugees.
"There's a need to have a particular focus on this, to ensure that we do get delivery fully on our obligations both legally and morally to refugees, so I think it is a good development if it comes to pass."
Mr Lannon added: "There are still ongoing challenges particularly in relation to accommodation, there is an over-reliance on the hospitality sector, on hotels.
"We need to look at other options, we need to ensure that we don't ever return to a point where we're using tents like we were for international protection applicants in three locations in Ireland until very recently."
