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.
In the next match, Stuttgart will meet Heidenheim and in my opinion this will be an easy match for Stuttgart to win at the end of the month, at least Stuttgart needs two wins to take second place from Bayern Munich and I am very confident that Stuttgart is capable of doing that.Their next game will be against Heidenheim which should not be that hard. The match after will be against Borussia Dortmund were the gap risk to shrink between these two teams!
Stuttgart's aim should be to qualify for the Champions League. Stuttgart does not yet have the ability to compete with Bayern Munich. Bayern Munich have had a somewhat erratic performance this season. Munich will not win the Bundesliga title. Even so, the Munich team is not weak. And in the last three matches, Munich have played brilliantly. Munich's players have scored 13 goals in the last two matches. The Munich team is in good form now.
Stuttgart should compete with Dortmund. In the upcoming matches, Stuttgart will face strong teams like Leverkusen, Dortmund, Munich and Frankfurt. So Stuttgart has the possibility of losing points in each of these matches if they do not perform well. And so if Stuttgart wants to be in the top three of the table, the team will have to continue their good performance.