The Laois footballers lost out to Dublin eight days ago in the Leinster final.
This was the O’Moore County’s first Leinster final appearance since 2007 but they lost out by 18 points.
It meant that the Dubs progressed to the Super 8s and Laois have one more chance to join them at that stage.
The All-Ireland Round 4 Qualifier draw took place on RTE Radio One this morning and Laois will face Monaghan.
Laois last played Monaghan in a 2012 All-Ireland Qualifier in O’Moore Park where goals from Brendan Quigley and Colm Kelly led Justin McNulty’s men to victory.
The full draw is as follows:
Laois v Monaghan
Roscommon v Armagh
Cork v Tyrone
Fermanagh v Kildare
The GAA have not yet announced the venue for the game but it will not be in Croke Park as Michael Buble is performing there.
We would speculate that the game will be played in Tullamore and will take place on either Saturday July 7 or Sunday July 8.
Should Laois make the Super 8s now, they will be in the group with Kerry, Galway and one other team.
The Kerry game would be home on the second week of the Super 8s and the Galway game would be away – on the weekend of the Galways Races.
The first round of the Super 8s would be against either the beaten Ulster finalists Fermanagh or Kildare and this will be in Croke Park.