Longford Westmeath TD Peter Burke is expected to come away with a cabinet ministry.
Micheál Martin will be formally elected as Taoiseach later as a new Government forms, almost two months on from the general election.
The Dáil will sit at 11am with Cabinet Ministers to be appointed across the afternoon.
The out going Tanaiste has seven roles to offer his own party - Jack Chambers, Darragh O'Brien and Norma Foley are seen as locks.
With Charlie McConalogue, Mary Butler, James Browne, Dara Calleary, Thomas Byrne and Jim O'Callaghan all likely to be considered for the other roles.
On the Fine Gael side Simon Harris, Helen McEntee and Paschal Donohoe will all return to Cabinet - with Patrick O'Donovan and Longford Westmeath TD Peter Burke also heavily favoured.
That leaves him two spaces for promotion to a full ministry - Jennifer Carroll MacNeill, Martin Heydon, Hildegarde Naughton and possibly Alan Dillon are in the frame there.
Beyond the two parties leading the government, the Regional Independent Group is expected to pick up a 'super junior ministry' with Longford Westmeath deputy, Kevin 'Boxer' Moran thought to be in line.
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