In an interview with the Irish Examiner, Mr Arnold also dismissed previous claims that the 100-member convention probing Constitutional issues was just an “expensive talking shop”.
The most contentious issue debated to date was the provision of same-sex marriage in the Constitution, said Mr Arnold, where 79% of the panel favoured the provision of same-sex marriage.
The Government has until November to respond to this. Tánaiste Eamon Gilmore has already said he expects a vote on same-sex marriage to take place next year, a move he supports.
Mr Kenny has yet to say if he or Fine Gael favour such a move. Mr Arnold says there is a need for constitutional change.
“I think the fact that there was a such a decisive majority by the convention that this is an area that needs constitutional change, does mean there is probably strong pressure on the Government to proceed to a referendum on this issue.”