Over 400 members of the Defence Forces are serving in the central African country as part of a force organised by the EU.
The current EUFOR mission has a UN mandate which expires next month.
Many participating countries, including Ireland, are expected to continue serving when the UN takes over the mission on 15 March.
They will then wear the traditional UN blue beret.
The Dáil and Seanad now have to give the go ahead to Ireland's involvement in the UN operation.
The EUFOR mission is led by senior Irish officer Lt Gen Pat Nash, who is based in Paris along with 18 other members of the Defence Forces at the Operational HQ at Mont Valérien.
However, Ireland will not have such high-rank control of the UN force.
Minister for Defence Willie O'Dea will now seek Dáil approval for the transfer of Irish personnel to the UN mission.
This will complete the triple lock mechanism of UN, Government and Dáil approval before Irish personnel transfer to the UN mission in Chad.
Because the proposed follow-on force will be a UN-led operation, the UN will reimburse certain costs.
