If Stuttgart continues with its current performance in the Bundesliga, I see no club that will stop Stuttgart from qualifying for next season's UEFA Champions League. Stuttgart has been unbeaten in their last eight matches in the Bundesliga, and Stuttgart is leading Leipzig with seven points, which will make it difficult for Leipzig to finish in the top four of La Liga.
Leipzig is also in the Bundesliga not in La Liga and I think you are a little mistaken in this regard and for Stuttgart they just need to maintain their own position until the end of the season by continuing to win in every remaining game. And at least Stuttgart can be in that position in order to enter the Champions League competition next season, because Leipzig is still hindered by Dortmund in terms of fighting for the top four positions in the Bundesliga standings.
I made a mistake by writing La Liga instead of Bundesliga. Thanks for the correction. I agree that Stuttgart needs to keep winning their remaining matches in the league if they want to finish in the top four of the Bundesliga table. I think Stuttgart's current form can guide them to win the matches that will make them finish in the top four of the Bundesliga table because Stuttgart has won seven of their last eight matches in the league.