Cork County Council say there is no date set for the demolition of the family home in Charleville in which two nine-year-old twins were killed four years ago.
Patrick and Tommy O'Driscoll sustained multiple fatal stab wounds inflicted by their brother Jonathan O'Driscoll at their home at Deerpark, Charleville on 4 September 2014.
Jonathan O'Driscoll, 21, took his own life shortly afterwards.
Since then, the boys' mother Helen O'Driscoll has campaigned to have the house demolished, saying it is a tradition in the Travelling community to "burn the barrel top wagon that a person died in".
She and her husband Thomas believe the children will not rest in peace until the house is demolished.
Cork County Council is now in the process of rehousing the family in a nearby property. The family has been living in rental accommodation since the deaths of their children.
However, the prospect of living so close to the old family house has seen the renewal of Mrs O'Driscoll's calls for it to be demolished.
In a statement, Cork County Council said it remains committed to engaging with the O'Driscoll family with a view to facilitating the demolition of the dwelling.