The world-class Dutch flyer has been out for close to a month with the groin problem he sustained in pre-season.
The 32-year-old struggled with persistent injuries in 2015/16 as he made just 15 league appearances for the German champions.
The player has one year left on his current deal with Bayern since joining the side from Real Madrid in 2009.
In June the club's CEO, Karl-Heinz Rummenigge, would be offered a contract extension beyond his current deal, if he enjoyed a good season in 2016/17.
It appears the winger will have to prove he can stay injury-free for Carlo Ancelotti's outfit - Robben missed nearly six months of last season alone with a succession of niggles.
However, good news for FC Hollywood fans is that the Dutch star returned to light training at Bayern's training ground on Saturday.
The Bedum-born attacker, who has scored over 200 goals in his career, completed a 35-minute running circuit at the Säbener Strasse facility.
While Robben is not expected to feature in Sunday's DFB-Supercup clash with Dortmund, Bayern are optimistic he could be available for the first league game of the season against Werder Bremen on 26 August.