12 teams have already qualified for the tournament, that takes place in June in the University of Limerick.
On Saturday and Sunday, the Clare League, Kerry League, South Tipperary League and North Tipperary League will play in Lee's Road, Ennis looking to earn two of the qualifying spots.
In Dublin's AUL Complex, the Kilkenny League, Wexford League, Mid Western League and Sligo/Leitrim League will battle it out for the final two spots.
Both venues will operate a round-robin group format with the top two teams advancing to June's tournament in Limerick.
This weekend's Qualification Round marks the first of two weeks in a row where teams will attempt to qualify for the Gaynor Cup. On April 21st and 22nd, Limerick and Dublin will host teams looking to reach the finals of the Fota Island Resort Under-14 Gaynor Cup.