The Brazilian recently stated that he would like to play in the United States at some point before he retires but he now says that he would like to remain with the Rossoneri.
The Brazil international recently expressed an interest in plying his trade in the United States and club CEO Adriano Galliani subsequently admitted that although the 31-year-old is under contract until 2015, he is allowed to leave this summer because the Rossoneri cannot qualify for next season's Champions League.
However, on Friday, Galliani presented Kaka with a medal to commemorate his 300th appearance for the club, against Chievo last weekend, and spoke of his desire to see the attacking midfielder remain at San Siro.
"To have reached this milestone is something truly extraordinary," the vice president is quoted as saying by Milan's official website. "The hope of the club and all of us is that we will still be here to celebrate appearance number 400, 500 - and beyond.
"Ricardo is truly in the hearts of the Milan fans. You can still give so much to this jersey. Few others have played games of the quality that you have produced here in Milan.
"My compliments on behalf of the club and president [Silvio] Berlusconi."
When Kaka was offered the opportunity to say a few words, he revealed that he too hopes to play for Milan for many years to come.
"I'm very happy with these 300 games in this jersey," he enthused. "The sentiments expressed in the speech made by Galliani are reciprocated because the feelings that I have for this club, for this shirt, for former and current teammates are true and from the heart.
"I hope to be able to make just as many more appearances. Thank you."