Die Roten midfielder wants to add to his growing collection of winners medals, rejecting the idea that Bayern Munich have reached the pinnacle of European football
After the Bavarians' treble this season, Schweinsteiger has now picked up 13 major trophies whilst at the club- six Bundesliga titles, six DFB-Pokals and a Champions League.
However, despite the incredible season die Roten enjoyed, the 28-year-old midfielder dismissed the idea that the team has now fulfilled their potential and stressed that he believes there is more to achieve.
"It looks very, very nice to see those 13 trophies- I've collected a real heap," the Germany international said in an interview with Bild am Sonntag.
"And I have to say that it makes you hungry for more. I'm only 28 and actually, it's the perfect football age. I feel now a great joy for the coming season. And I'm assuming that we'll even add a few trophies.
"We all go with confidence into the new season. And again we have a world-class coach in [Pep] Guardiola. I'm very excited."
However, despite securing a historic treble - becoming only the seventh European club to manage the feat of winning league title, domestic cup and European triumph in a single season - Schweinsteiger believes Barcelona still rank as Europe's finest.
"In my eyes, Barcelona is still the number one club in Europe," the midfielder continued.
"They have been so consistent at international level for the last six years. One can not immediately stand up and say after winning a big title: 'We are now the new number one in Europe'.
"But in the first leg against Barcelona in Munich we reached perfection [the 4-0 Champions League semi-final win], we succeeded in our tactics. We made use of the previous season to bring on a really good development.
"Jupp Heynckes has managed to establish us as a true team. Now we really go as one both forwards and backwards. Even the attacking players have worked very hard defensively, which was the key to success.
"A team spirit has been created, which we benefited from this season - and from which we will benefit even more in the future."