RB Leipzig right-back Klostermann is sidelined by a hamstring strain.
Last season, Bayern Munich won the UEFA Champions League, the German League, the German Cup, the German Super Cup and the European Super Cup.
Joshua Kimmich edged Bayern Munich into the German Cup semi-finals with the only goal in a 1-0 win at Schalke 04 on Tuesday.
Germany international Joshua Kimmich on Friday signed a three-year extension that will keep him at Bundesliga champions Bayern Munich until 2023, the club said.
Arturo Vidal (Chile) and Joshua Kimmich (Germany) clashed during the Confederations Cup Final on July 2.