Peter O'Mahony says Munster owe it to their supporters to put in a big performance in their final Champions Cup Pool 4 game at the weekend.
Defeat yesterday to Racing 92 left qualification out of their hands, with Johann van Graan's side depending on other results going their way.
They must beat Ospreys with a bonus point, just like they did in November, to have any chancing of scraping through to the last-eight.
"There might be some long shot that we can get through, but it's not about that really," he told RTÉ Sport's Michael Corcoran afterwards.
"I know how much it means to the boys in the dressing room, and we just need to show that to each other, and the supporters next week.
"You saw out there how many of them turned up, and next week I've no doubt the place will be full again.
"We need to have a good week, stick together, and have a good performance the next day - that's paramount."
Yesterday's loss was a third in a row for van Graan's side, following inter-pro reversals to Leinster and Ulster since Christmas.
They were leading going into the final ten minutes, after Andrew Conway's first-half try and 17 points from the boot of JJ Hanrahan.
But quickfire tries from Teddy Thomas, Virimi Vakatawa, and Juan Imhoff turned the game on its head, while also taking away the visitor's losing bonus point.
"We take a huge amount of positive from the game, which we didn't last week," according to O'Mahony.
"They're a tough side to play at home, and we played some excellent rugby, probably some of the best that we've played all year.
"So we'll build on those positives.
"A couple of lapses against guys like this and they'll punish you. If you're close you're always in with a shout, but in that last 15 we struggled a bit."
