The Labour Party chairman says the government should wait and make sure it gets the property tax right, rather than make any mistakes, if it becomes a complicated process.
Colm Keaveney was responding to proposals from one tax expert, that the introduction of the new tax should be put off for a year.
At the moment, it's due to be rolled out next year, to replace the current flat-rate household charge.
Galway East Deputy Colm Keaveney outlined the kind of system he'd like to see introduced: "It would pick up the size of the house, the location of the home and the level of amentities.
"It would develop a matrix, a sliding scale of a fair system based on an ability to pay. If it's complicated to construct this system, then I would much prefer if we wait and get it right than make any mistakes at the outset."