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.
Maynooth Edge Out Colaiste Choilm In Leinster Quarter Final
Midlands Boxers To Begin National Elite Championships This Week
TUS Midlands Lose First Sigerson Cup Game
Semi-Finals Places Up For Grabs In O'Byrne Cup
TUS Midlands Begin Sigerson Cup Campaign This Evening
Ronan Sweeney Named New Portarlington Manager
I've Always Been A Fan Of The Pre Season Competitions - Mickey Harte
Paul Loonam Set To Fight In February
Athlone Town Secure Signature Of Thomas Considine
Robbie Henshaw Set To Return For Leinster This Weekend
Offaly And Westmeath Advance In O'Byrne Cup
Shane Lowry To Compete At Dubai Invitational
Portlaoise Panthers Miss Out On U20 National Cup Final
St Brigid's Win All Ireland Final Place
Midlands Counties Set To Start Walsh Cup Journey
Offaly Boxer Serves Up ‘Boxer Bites' Series On Social Media
Portlaoise Panthers Secure Big Win In Super League
Athlone Town Confirm Departure Of Three Players
Kerry v Dublin - A Rivalry That Revived The GAA