The Parisians have twice reached the final of the continent's premier club competition, but twice they have fallen just short.
Dupuy kicked the Parisians to victory over at The Rec on Sunday afternoon as he broke Bath hearts for the second season running.
The French international claimed 21 points in the 29-27 win, slotting a last-minute penalty to snatch what had seemed an unlikely victory.
The former Leicester scrum-half had inflicted a similar fate on the 1998 Champions when he crossed for a late try as the Tigers knocked out their bitter rivals at the quarter-final stage of last season's Heineken Cup.
But while he reached the final of Europe's showpiece event with Leicester five months ago, Dupuy says he and his Stade team-mates have set themselves no such goal.
Long-term planning can lead to a loss of focus on immediate objectives and Dupuy says Stade are simply concentrating on their forthcoming double header with Ulster as they aim to continue to top Pool 3.
"After the first game against Edinburgh, we wanted to produce a big performance because we know Bath are a very physical team," explained Dupuy, who has also played Heineken Cup rugby for Biarritz.
"It's was a good win for us but it's very difficult to think about reaching the final because there are a lot of big teams who want to get there.
"We will just try to play well for the remaining games in our pool. We go to Ulster in December and that will be a big challenge. It will certainly be hard to win there.
"We will try to reach the quarter-finals. That's what we'll concentrate on.
"But for the moment, we are happy. We are first in the pool and we've won our opening two games."