The Catholic Primate of Ireland says he would like to see a papal visit take in several places around the country.
The selection of Dublin as the location for a major church event in 2018 has sparked speculation that Pope Francis could make the trip here.
Archbishop Eamon Martin says he has no doubt the Pontiff would love to come - but it depends on his health and his schedule.
It was confirmed last night that the next World Meeting of Families will take place in Dublin in 2018.
The schedule of the gathering - which happens every three years - has often included a visit to the host country by the serving Pontiff.
Pope John Paul II was unable to take in Northern Ireland during his visit in 1979 due to security concerns.
But Archbishop Martin told the Pat Kenny Show here on Newstalk it would be great if Francis could travel North of the border.
Pope Francis announced the choice of Dublin as he ended his six day-tour of the US.
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Theologian Gina Menzies says upcoming events in the Vatican could make things clearer.
"I suppose maybe I'd say a 50-50 call at this stage" she told Newstalk Breakfast.
"I think what will happen possibly is the Synod on the Family is going to start in Rome early in October - and I think possibly depending on how that goes and the outcome and the decisions maybe that follow from that may influence whether the Pope would come to Ireland in 2018" she added.