Harlequins head coach John Kingston believes Toulouse are good enough to reach the Heineken Cup final in Paris next May following the home side's 33-21 victory in the south of France.
Kingston could only look on at the Stade Ernest-Wallon as the French giants sealed a quarter-final place for the seventh time in eight seasons.
The three-time champions coasted to the win by running in four tries through Florian Fritz, Jean Bouilhou, Cedric Heymans and Maxime Medard.
But Quins boss Kingston insists Guy Noves' men have the ability to go all the way and lift the title for a fourth time at the Stade de France in the French capital.
Kingston said: "If they don't go all the way with the capacity they have to play at a top level, then they need to ask themselves some questions.
"I didn't think there was much between the sides in the first half and in fact, I thought we were on top in the contact area.
"To come in nine points behind at half-time wasn't a true reflection of the game.
"But they are such a difficult team to play against. We had to play with a man down in the second half and it was really hard.
"Technically, our kicking game kept asking questions of how good a counter-attacking team Toulouse are.
"We had looked at how we would kick to them all week but in the end, we allowed them to get into broken field and some of their off-loading was fantastic.
"We could have lost by far more points than we did."
Harlequins will want to end a run of five straight defeats in the competition with a final round clash against Cardiff Blues at the Twickenham Stoop.
But the emphatic win in Pool Five takes some off the pressure away from Toulouse ahead of next Sunday's tricky tie at Sale Sharks.
But the French outfit will be setting their sights on maintaining their form with a success at Edgeley Park to achieve an invaluable home quarter-final.
Toulouse and former All Blacks scrum-half Byron Kelleher said: "We are satisfied with the result. We enjoy playing a winning style of rugby but sometimes it's been our downfall.
"Other teams try to shut us down but we played clinical rugby, utilising the ball and kicking in their half.
"We were patient and it paid off. The first 30 minutes of the game were difficult but after that we had a superior fitness and that's what we relied on."
