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"We face a big challenge at the weekend but it's great to be back in the Heineken Cup - this is proper rugby," he said.
"Gloucester's a tough place to go but that's what you play rugby for. Even though we're familiar with Gloucester in the Premiership, there's the atmosphere that goes with the Heineken Cup at Kingsholm.
"They are a great side down there and they grow with the Kingsholm crowd.
"It was 26-19 to them down there in the league last season and we were held up over the line trying and draw the game so hopefully we'll go down and be competitive - and I think we will."
"It's nice to win matches because it keeps the feel-good factor but the record is an irrelevance, our next game is the most important.
"Winning breeds confidence, though. Maybe when you're in the midst of a tough game you find the mental strength to come out on top because the belief is there.
"We were tested big time against Connacht but we had the fortitude to come through. I'm delighted that we showed that sort of mental strength.
"It's easy to be offloading away and pirouetting down the pitch but sometimes you have to roll up your sleeves and come up with the goods and we did against a tough Connacht team.
"And it was good to see people down in the dumps about winning that game because they want to play a lot better.
"Some people outside the team may have been thinking it was going to be a comfortable win but I was never thinking that. We didn't play our best rugby but they're the matches you have to win."
The 25-17 win was enough to bank the four points and Quins full back Mike Brown echoed O'Shea's warning over the looming Kingsholm test.
"We have got a lot of respect for Gloucester, especially at Kingsholm," he said. "It's a bit of a fortress for them in front of the Shed so it's going to be a massive challenge for us.
"We won't take that challenge lightly and we'll be working hard this week in training because there were a lot of errors against Connacht.
"Gloucester like to throw the ball around and we like to throw it around as well, so it should be a good and exciting game.
"We have shown that we can win close games and that we can play a bit of rugby. That's good for us but we've got to keep going because teams really want to beat us now.
"We've learnt a lot from last season and from all the close games we had and we've got pretty much the same squad this year. At the moment it's paying off for us but we know we've got to keep working hard. If we get carried away with the unbeaten start, we'll lose on Saturday."
