The Netherlands international, 35, is out of contract at the San Siro this summer and was expected to return to his former club.
But the former Bayern Munich and Barcelona midfielder will put his dream on hold if the Rossoneri want him to stay.
"I’m happy at Milan and will speak to vice-president Adriano Galliani soon to understand what they want," Van Bommel, who joined Milan at the start of last year, told Sky Italia.
"I have to thank Galliani and director Ariedo Braida for signing me at my age. I’ve always said that I want to end my career at PSV but I don’t know when that will happen."
Van Bommel admits that he took time to adapt to life in Italy - saying that some games are “boring” - but he is now well into his groove and is first-choice under boss Massimiliano Allegri.
He also said that, while progress in the Champions League has been welcomed at the club, the priority remains defending their Serie A title.
"I thought the Italian championship was a little strange at the beginning. Today I think it is a mix between Spanish, German and English football. There are great games at times and then there are some boring ones.
"Winning the Scudetto is at the top of my list because it is the most difficult to win. You play for an entire year for that trophy. The Champions League, even if it may seem more beautiful, is decided in fewer games.
"This season's favourites for the Champions League are Barcelona - they are the strongest side in Europe. They’ve been playing at this level for three years and they are still hungry.
"I’ve played for that club and when you wear that shirt you think that you are unbeatable."
Milan lie top of the Serie A standings, four points clear of unbeaten Juventus, and are in the quarter-finals of the Champions League after a 4-3 aggregate win over Arsenal in the last 16.