"We've got an hour break by the time the person accepts, and then the question is: 'By what name would you wish to be called?'" he said.
"Perhaps some of those persons who may have imagined themselves, or could have envisioned a possible election, may have given some thought to this," Rosica added.
The new name will be included in the Habemus Papam ("We Have a Pope") - the announcement given in Latin by the senior Cardinal Deacon upon the election of a new pope.
It will then be read out from the balcony of St Peter's Basilica to people from all over the world who have gathered in St Peter's Square.
