Justin McNulty's side endured a tough outing against New York last time out.
Laois are into a Tailteann Cup quarter final this weekend, despite limping into it with an unconvincing win over New York in Portlaoise.
The O'Moore County will take on Kildare in their last eight tie, which has been set for O'Connor Park in Tullamore on Sunday at 1.15pm.
Justin McNulty's side trailed New York by a point at half time, and had to contend with a red card after Shaun Fitzpatrick collected two yellow cards with 20 minutes left.
Laois saw it out, and McNulty says he's grateful to still be in the competition.
He reviews a tricky game with Midlands 103's Pat O'Sullivan:
Sunday's meeting of Kildare and Laois will throw in at O'Connor Park at 1.15pm.
Elsewhere, Fermanagh will play Antrim, Sligo take on Limerick, and Down are against Wicklow.
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