Kimmich praised the team's consistency and focus, especially after a demanding midweek clash with Real Madrid. "We have played a great season and a great game today," he said. "It's not easy to re-focus after Madrid, but we showed our quality against a top team."
The midfielder also highlighted the personal milestone of lifting his 10th league title. "This one feels very special because we have been so consistent over the whole year," he said. "I hope there are ten more to come."
Bayern were tested early when Stuttgart took the lead through Chris Fuhrich after a sharp attacking move. However, the champions responded with authority before the break. Jamal Musiala created the equaliser, with Raphael Guerreiro finishing from close range, before quick-fire goals from Nicolas Jackson and Alphonso Davies turned the match firmly in Bayern's favour.
Coach Vincent Kompany then introduced Harry Kane after the break, and the striker added a fourth with his 32nd league goal of the season to keep Bayern in complete control.
Kimmich also spoke about the absence of injured Serge Gnabry. "He played an integral role for us this season," he said. "It's a huge blow not to have him for the final phase, and I wish him all the best."
Stuttgart managed a late consolation, but the result was never in doubt. Bayern's focus now shifts to the DFB-Pokal and the UEFA Champions League, with the possibility of a treble still alive.
For Bayern, the dominance continues - and as Kimmich made clear, the hunger is far from over.