Bayern will have one eye on a trip to leaders Hamburg in the Bundesliga on Saturday, before hosting Juventus in the Champions
League.
Coach Louis van Gaal can again call on Italy striker Luca Toni who had an outing for the reserves on Friday following a three-month injury lay-off with Achilles tendon problems.
'I'm fit and ready for the first team, in my opinion,' Toni said.
'I'm available for selection as of now, and I hope the coach calls on me soon. I want to be playing for the Bayern senior team as soon as I can.'
After only four points from their first six games, Bochum decided to part company with 48-year-old Swiss coach Koller on Sunday.
Assistant Frank Heinemann and former player and youth coach Dariusz Wosz are in charge for the visit of Schalke, one of three all-Bundesliga duels.
Schalke's solid start to the season under Felix Magath took a knock with a 2-1 home defeat to Wolfsburg on Friday.
In the other matches between Bundesliga sides, Nuremberg play Hoffenheim on Tuesday, and Cologne meet league champions VfL Wolfsburg Wednesday.
Elsewhere Wednesday, Hamburg travel to third-division side VfL Osnabrueck in a northern German duel, last season's losing finalists Bayer Leverkusen are at Kaiserslautern, while VfB Stuttgart are at fourth-tier VfB Luebeck.
In matches between first and second-division sides, Freiburg travel to Augsburg, Eintracht Frankfurt host Alemannia Aachen, both Wednesday, while Borussia Moenchengladback take on visiting MSV Duisburg Tuesday.