Stade have only lost two of their 20 home games in the competition and the last time was 10 years ago against London Wasps.
London Irish are however the only other side to have beaten the French club at home in this competition - way back in 1997.
The Irish have a similarly impressive record in the Amlin Challenge Cup, having only lost two of their last nine games in the tournament. Both of those defeats came in back-to-back fixtures against English rivals Gloucester last season.
They have also won their last five games away in France in the competition so will travel to the Stade Jean Bouin full of confidence, but forwards coach Glenn Delaney insists they won't be getting carried away with their Round 3 result against the Parisians.
"We are up against one of the best physical teams in France in the bound phase - scrum, lineout, lineout drive. And I can guarantee that is what we will see on Saturday night," said Delaney.
"We cannot go out under any illusions. This will be the toughest game we will play all season, because they will feel disappointed and there will be a response from them.
"If there is one thing that the French do, it is emotion. They do it very, very well. Our blokes will be ready for it and it is just the test we need right now."