Victory for Bayern would secure a momentous 10th consecutive win in Europe's top competition, though it remains without the likes of Franck Ribery and Bastian Schweinsteiger.
Reigning champions Bayern matched Barcelona's feat of nine successive triumphs in Europe's premier club competition when it edged past Viktoria Plzen 1-0 earlier this month.
Pep Guardiola's men have already secured their passage into the round of 16 with four wins from four, but they will seal top spot if they better Manchester City's result against Viktoria Plzen.
Bayern has conceded just once in the Champions League group stages so far, giving it the best defensive record in the competition, and it could hardly be in better form fresh off a superb 3-0 Bundesliga win at title rivals Borussia Dortmund on Saturday.
Former Dortmund midfielder Mario Gotze scored the opener against his one-time employers before Arjen Robben and Thomas Muller added polish with late goals, as Bayern retained its four-point lead at the top of the table.
The win was Bayern's seventh in a row, and it is now 25 games unbeaten on the road in the Bundesliga, just one short of a German top-flight record which it set itself between December 1985 and August 1987.
The records do not stop there, either, with Bayern now unbeaten in 38 successive Bundesliga matches, another benchmark, while it has scored in each of its last 37 matches in all competitions as well.
Those statistics alone indicate just how tough it will be for CSKA, but the Russians are boosted by the likely absence of France winger Franck Ribery from Bayern's ranks.
Ribery suffered a fractured rib on international duty and did not feature against Dortmund, while midfielders Bastian Schweinsteiger (ankle), Xherdan Shaqiri (hamstring) and striker Claudio Pizarro (thigh) are also sidelined.
In better news for Bayern, midfielder Thiago Alcantara – signed from Barcelona in the close-season – returned from an ankle injury to feature as a substitute against Dortmund and could now play an extended role.
CSKA also enters the match on the back of a win, with Leonid Slutsky's side - which is fourth in the Russian Premier League - defeating rivals Spartak Moscow 1-0 Saturday.
Ivorian forward Seydou Doumbia scored the game's only goal, his seventh in his last five matches for CSKA.
The Russian champions sit third in Group D, with just three points from its four matches, and it has conceded 12 goals in the process – giving it the competition's joint-worst defense along with group rivals Plzen.
It has not kept a clean sheet in its last eight Champions League fixtures but will be heartened by the fact that it has won its last two home matches in the competition against German opposition, defeating Hamburg and Wolfsburg in the 2006-07 and 2009-10 seasons respectively.
Mario Fernandes returned from a long-term knee injury on Saturday for CSKA but Alan Dzagoev (hamstring) and Aleksandrs Cauna (toe) will miss out.