He also moved to re-assure the public that that the planned property tax will be fair and affordable.
Mr Kenny has refused to be drawn on speculation in recent days though that the annual property tax from 2013 could be in excess of €1,000.
He said: "The household charge is a flat charge across the board and clearly that’s not fair across the board either.
"We await the report of the expert group, as I say we want this to be fair, we want it to be affordable, and we want it to be one that people can plan for.
"So I’ve heard figures mentioned, but there's no decision on the scale of what the tax will be."
Meanwhile, agroup campaigning against the Government's planned new household charge and property tax are calling on the people of Ireland not to pay the levies.
The Campaign Against Household and Water Taxes said that the Government should introduce a wealth tax instead.
"I think the Government have underestimated the ill-feeling towards this," said Independent TD Mick Wallace.
"There’s just such a lack of fairness, in so many ways. Too many people are in a difficult place, and this is an unfair imposition on them."