Reigning Leinster Senior Hurling champions Kilkenny will play either Wexford or Laois in the semi-finals of the Leinster championship.
The meeting of Wexford and Laois is one of two quarter-final pairings, with Dublin and Joe McDonagh champions Antrim set to meet in the other.
The winners of Dublin and Antrim will advance to a semi-final against Galway, who were beaten in last season's provincial decider by Kilkenny.
The times, dates and venues will all be confirmed at a later stage but all quarter-finals and semi-finals will be played at neutral venues.
2021 Leinster SHC draw:
Dublin v Antrim
Wexford v Laois
Kilkenny v Wexford/Laois
Galway v Dublin/Antrim