The popular Scottish tighthead moved from Rotherham Titans in 2014 and has gone on to establish himself as one of the competition’s most consistent front-rows.
Although Quigley has helped Doncaster become a regular top-four finisher in the Championship, they currently just have two wins from their opening seven games.
The visit of unbeaten Irish – who vanquished Yorkshire Carnegie 72-5 last week – will be another stern test, but he insisted: “We believe we can win.
“We know Irish are a Premiership side who have just got relegated and want to go straight back up. But if we put in the performance we know we’re capable of we have every chance.
“We have to get our game right and put them under pressure.
“We’re not where we want to be right now, but we’ve had some really close games and could easily have won at Cornish Pirates and against Bedford last week, so it could have been a completely different story.”
On his time with Knights, Quigley, 37, said: “I’m over the moon to reach 100 games.
“It doesn’t happen very often in the modern game yet there’s quite a few of us who have done it here at Donny. That’s the good thing about it; I’m doing it with a lot of good mates.
“Ben Hunter, Richard List, Paul Jarvis and Michael Hills have all passed 100 games while Matt Challinor and Dougie Flockhart have more than 200.”
One of the reasons for the squad’s longevity and team spirit is their long-serving director of rugby Clive Griffiths, who led them to the Championship final two years ago but is currently recuperating after suffering a heart attack five weeks ago.
“It’s been strange not having Griff around going crazy all the time and it’s never nice seeing this especially after what happened last season with Ian,” added Quigley, referring to the Knights prop Ian Williams who tragically collapsed and died at a training session in February.
“It has had an effect on the team, but the main thing is Griff is okay and coming back strong.”