But it will make up for that when the Owls play in the play-off final in Cardiff on Sunday.
It's the same day that the striker's old club, Willem II, face PSV Eindhoven in Holland's final in Rotterdam.
Willem are already guaranteed a UEFA Cup spot because PSV have won the title and will be in the Champions League again next season.
"I'm missing out on what's happening in Holland but Cardiff will be an even bigger occasion," said Quinn.
"I'm chuffed for Willem; it would have been nice to be involved - but there there will be double the amount of people at our game. And I've already played in Europe, in the Intertoto Cup!"
Quinn has never regretted joining the Owls, in January, and has played an important part in their surge into the play-offs, including his goal in the decisive win at Hull.
"I've played at the Millennium Stadium before, for Northern Ireland against Wales. We drew 2-2. You remember the whole day so much better when you get a good result.
"It goes so quickly and you don't want to have any regrets at the end of it.
"I can't wait for the final: I'd have played it the day after we beat Brentford!"
But the wait has benefited him in one way as he has been nursing an ankle niggle. "I needed a few days' rest to get myself right," he said.
"We've been able to work on the training ground as well.
"Everything needs to fall into place on the day.
"It will be a great occasion for the supporters; there's no point in going there and losing."
Quinn, like strike partner Lee Peacock, will be looking for play-off promotion at the third attempt.
The Ireland international was in the Blackpool squad that lost to Bradford in the Division Two semi-finals in 1995/96. The Bantams lost 2-0 at home but won the second leg 3-0 - with one of their goals coming from ex-Owls striker Carl Shutt - and went up up by beating Notts County 2-0 at Wembley.
Five years later, Quinn was with West Brom when they went out in the Division One semi-finals: Bolton drew 2-2 at the Hawthorns and won 3-0 at home, then beat Preston 3-0 in Cardiff and spelled misery for another current Owl, David Lucas.
Peacock helped Bristol City get past Hartlepool in last year's semi-finals, with a 1-1 away draw and 2-0 home win, but injured his ankle and missed the 1-0 defeat by Brighton in the final.
A year earlier, Peacock and City lost to Cardiff in the semis, after losing 1-0 away and drawing 0-0 at home.
"It's third time lucky for me," said Peacock, whose fine header helped to clinch the Owls' 3-1 aggregate victory over Brentford. "It was a great night in the semis. Hopefully we can do it in the final. In the two games against Brentford we seem to have created a kind of stabilitiy in the team. The back four have been superb. Having David Lucas back has made a big difference as well."
When Quinn was at Willem he and a teammate proposed, even before the first round of the cup, that bonuses should be donated to a fund for a terminally child. "We said if we did that then God would smile on us. I hope they've kept up the payments," he said.
After rumours that national body Supporters Direct are looking into the elections for the Owls Trust board, a Trust spokesperson said: "The Trust is not aware of any investigation."