CSKA will be without Aleksandr Makarov with an ankle injury and Mario Fernandes is expected to miss out after suffering a concussion against Dinamo Moscow on Saturday. United have started both their domestic and European season strongly and Mourinho has at his disposal, probably the strongest Manchester United side there has been in the last four years - with a good mix of pace, power and a bit of stardust to go with it.
Mourinho also reserved praise for ref Craig Pawson, who he rates as one of the best in the Premier League.
However, Mourinho's side will travel without key midfielder Marouane Fellaini after the Belgian was ruled out through injury.
"If the opponent has moments of superiority we have to be humble like we were against Southampton and cope with the hard moments of the game", said the Portuguese.
'After Alex Ferguson's legacy, this current version of Manchester United is without any doubt the strongest team, ' he said ahead of the clash in the Russian capital.
In a statement on the club's website on Monday, United said: "All supporters must use the official bus service provided, and we ask that you ensure your behaviour is impeccable at all times".
He said: "We don't have Fellaini, Pogba or Carrick, so all three midfield players we lose for this match, so the solutions are not many".More news: Keeper Karius to start for Liverpool against Spartak Moscow
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CSKA reached this stage of the competition by finishing second in the Russian Premier League last season and successfully navigating qualifying rounds against AEK Athens and Young Boys. Every time I come it's better, so I have to say that it's a pleasure.
Meanwhile, CSKA Moscow are sitting third in Russian Federation, four points behind leaders Zenit, already losing three times from the 11 games they have played.
"Last season, there were a lot of Armenian fans in the crowd at the game in Rostov and I hope there will be the same again tomorrow, giving me and the team a hand".
The game will be shown live on RTÉ 2.
"I think there is an episode in the first half (against Southampton) that could transform a game (Fellaini injury) because we are winning one-nil when that happened because we could have controlled game easily, in the second half we have to be humble".
He added: "I don't expect Fellaini to be out for a long time and after Crystal Palace there is the global break, and Belgium, I think, was the first team to qualify, so not under pressure for a special big match".