Minister, Simon Harris, strongly denies Sinn Féin allegations he leaked the information.
The Taoiseach has ruled out holding any investigation to find out who leaked details of the Katherine Zappone appointment as a UN Special Envoy.
In the Dáil this week, Sinn Féin TD Matt Carthy accused Minister Simon Harris of being behind the leak - something Mr Harris strongly denies.
Taoiseach Micheál Martin says he's focused on the business of governing rather than Cabinet leaks
: