CSKA president Yevgeni Giner told the Russian media that both the club and Honda could be better off if the 27 year-old waited until his contract expires in December.
"Honda is free to talk to any club at the moment and he is free to leave for the right price. Rumour has it that I've been offered €1.5 or €2million for him, but I don't need it," he said.
"He's an important player for the team and will help us earn more than €2million if we progress through the Champions League.
"If he plays well, he'll be in an even better position to sign a lucrative deal at the end of the year. It might not even be with Milan."
Although Milan are hoping to sign the Japan international before the transfer window closes at the end of August, it is understood the Serie A side would not be forced into paying the €5million fee CSKA have reportedly demanded.