They want an overhaul of how fines are collected that the courts hand down.
The Chair of the Public Accounts Committee says the Courts Service has a "hard neck" for suggesting it shouldn't be responsible for collecting fines.
It's after the service made a number of suggestions to overhaul the fines system, including abolishing parking fines in favour of clamping.
Drivers with unpaid fines for motoring offences would also be unable to tax or sell their vehicle before clearing the debt.
PAC Chairman and Laois Fianna Fail TD Seán Fleming believes the Courts Service should remain responsible for collecting fines: