The Bavarian giants are already guaranteed a last 16 place as Group E winners ahead of Today's match at bottom side Dynamo Kiev.
However, Kimmich, who declined to be vaccinated due to "personal concerns", was quarantined Friday for the second time this month after contact with someone who tested positive.
On Sunday, Bayern confirmed their other unvaccinated players Serge Gnabry, Jamal Musiala, Eric Maxim Choupo-Moting and Michael Cuisance are also in quarantine because of a new coronavirus exposure.
Having five players sidelined through their own choices is an unwelcome distraction before heading to Ukraine.
"It's annoying," said head coach Julian Nagelsmann before the weekend, irritated that few questions are being fielded about football as "we seem to only be talking about the pandemic."