According to The Irish Times Rome correspondent Paddy Agnew the Vatican expects Cardinal Brady to move aside and let the coadjutor bishop – who would be appointed later in the year - run the archdiocese.
Such a bishop, under canon law, would have the right to succeed the cardinal.
The Vatican has strongly defended Cardinal Brady and rejected calls for his resignation.
Its chief prosecutor, Monsignor Charles Scicluna said on the BBC documentary The Shame of the Catholic Church, that he would put the concerns of reporter Darragh MacIntyre to Cardinal Brady, but would not say if Cardinal Brady should resign.
“That is a question that should be put to Cardinal Brady”, Monsignor Scicluna said.
The Vatican feels that that responsibility for Fr Brendan Smyth lay with his superiors in the Norbertine order and that the then Fr Brady carried out his duties and does not have a case to answer.
It is unlikely to call for Cardinal Brady’s resignation because of a sex abuse inquiry in 1975.