Sevilla would have been encouraged by the comedy of errors in Bayern's defence that led to Augsburg's goal.
A relentless, nearly inevitable march to the title ended on Saturday when Bayern underlined its dominance of the Bundesliga with a record-extending sixth successive championship.
The result mean Bayern are German league champions for the 28th time in their history, and it was the sixth year in a row they have won the Bundesliga since their treble-winning season in 2013. But there were none of the customary beer showers.
The Bundesliga heavyweight easily won the championship as James Rodriguez helped turn the game in their 4-1 comeback victory at Augsburg.
Bayern once again sealed the league title away from home.
With another Bundesliga crown now wrapped up, Bayern's attention will now switch to their European and DFB-Pokal campaigns, as Heynckes - who took charge in hard circumstances following Carlo Ancelotti's departure - aims to match the treble he claimed in 2012-13.
Heynckes, 72, said Bayern are sticking to a plan they have put together with the club's medical experts.
Jerome Boateng's untimely slip enabled Sergio Cordova to pounce, and, although the winger's effort was saved by Ulreich, the ball rebounded back in off the unfortunate Sule.
However, Munich were 2-1 up by the time half-time came when Joshua Kimmich's cross picked out Tolisso unmarked in the area to header Bayern level on 32 minutes.
Robben all but sealed the title after the hour-mark when he fired inside the right post after James kept the ball in play.
Second-place Schalke will play at Hamburger SV later Saturday but can no longer catch the Bavarian powerhouse.
Cologne captain Jonas Hector headed his side into an early lead, but Pablo De Blasis equalized to keep Mainz six points clear of the home side. Elsewhere, Bruno Labbadia claimed his first win since taking over at VfL Wolfsburg when they beat Freiburg 2-0 away with two goals from Daniel Didavi.