The Japan international is on the verge of joining the Rossoneri after they made an acceptable offer to the Russians but his agent and brother, Hiroyuki, says the final details now need to be completed.
"We will meet with CSKA again for more talks, but what I can say is that Milan have a made a very good offer to CSKA," he told Tuttomercatoweb.
"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."