Eamon O' Shea's men will take on Dublin in that Quarter-Final clash on Sunday, 27th July.
The fixtures were confirmed, following Cork's 2-24 to 0-24 Munster Final win over Limerick at Pairc Ui Chaoimh.
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Limerick will face the winner of the Round two game between Waterford and Wexford in the other quarter-final.
Details, such as time and venue, are yet to be confirmed.
Meanwhile, Tipperary's senior footballers will face Galway in Round 4 of the All-Ireland Qualifiers on Saturday, 26th July.
That's after Galway were beaten by Mayo in today's Connacht Football Final.
It finished 3-14 to 0-16 to the defending champions at Elvery's McHale Park.
