The government has taken out ads urging holders of the licence to make the switch.
A three month delay in converting UK driving licences to Irish documents will cause thousands of unnecessary summons.
Laois paramedic Nigel Newland - who's in the process of exchanging his licence - also says the current policy leaves him relying on the goodwill of the gardaí to continue working.
Latest figures estimate 40,000 drivers will be effected by the switch.
Mr. Newland says the government cannot claim to be prepared for Brexit:
Two Offaly Women Selected For National Nature Restoration Portrait Series
Westmeath Town Band Opens Recruitment To New Members
Laois Disability Centre Fails HIQA Inspection In Four Regulation Areas
Offaly Community Group Aims To Support Young People’s Physical And Mental Health
New Brian Cowen Biography To Be Launched In Offaly Tonight
Midlands Homelessness Figures Record Slight Monthly Increase
Credit Union Lending Surges As Mortgage Growth Continues Amid Merger Wave
37% Of People Aged 25 To 64 In The Midlands Leave School Without Third-Level Education