Limerick FC's reward for topping their League Cup group in midweek is a quarter-final meeting with Munster rivals Cork City.
In a regionalised draw, Finn Harps will meet Sligo Rovers in an all-First Division draw.
Home advantage will be determined during a draw at the Shelbourne Hotel in Dublin next Tuesday.
The other four quarter finalists, Bohemians, Longford Town, Dublin City and UCD will enter a standard draw.
Filed by Mark O'Neill-Cummins