Kobel is out with an injured ligament and Witsel has an infection.
Second-placed Dortmund are already missing Mats Hummels, Donyell Malen, Mahmoud Dahoud, Thomas Meunier, Thorgan Hazard and Giovanni Reyna.
A home win would leave Bayern an unassailable 12 points ahead of second-placed Dortmund with three games left.
Despite their lengthy casualty list, Dortmund intend to deny the hosts securing a tenth straight Bundesliga crown.
"We want to try to prevent that. That's the task, that's the goal," said Dortmund coach Marco Rose.
The German media refers to Bayern-Dortmund matches as 'Der Klassiker' (The Classic).
Yet Bayern are chasing an eighth straight win in the series, having scored 30 goals, conceding just five.
Dortmund have winger Raphael Guerreiro back from injury.