The Japanese international already has a deal to join the Diavolo in January on a Bosman free transfer, but the midfielder and the Rossoneri are hoping to wrap up a move in this window.
“We’ll meet with CSKA again today for more talks,” Hiroyuki Honda, the player’s brother and representative, told TMW.
“What I can say is that Milan have made a good offer, a very good offer to CSKA.
“I don’t know if we can wrap everything up today. We’ll look to convince CSKA, because, for us, the deal is ready.
“Joining Milan is not about money, but prestige. Milan, Real Madrid and others are clubs with great value. It would be a big step forward in the career of Keisuke.
“We are waiting for CSKA to give Milan’s offer the OK, then we will be in Italy to finalise everything.”
Honda will reportedly sign a four or five year contract at San Siro, worth €2.5m a season.