Aquilani joined AC Milan on a loan deal from Liverpool over the summer. However, the San Siro side will be obliged to sign the Italian on a if he plays more 25 or more games this season.
A permanent stay at the Serie A champions could be welcome for Aquilani, spent last season on loan at Juventus before returning to England, only to be loaned out again to Milan after Liverpool manager Kenny Dalglish told him that he was unable to fit into the team's preferred formation.
The 27-year-old told Corriere dello Sport: "I want to win something important with Milan. I have been changing teams for three years now and I want to affirm myself at Milan by staying for a long time,"
A season-opening home clash against Lazio this weekend will see old rivalries renewed for the former Roma player, but Aquilani is ready for battle.
"The game against Lazio will always be special for me even though it has been years since I played in the Rome derby," he added.
"Lazio are a nice team, then we have Barcelona [next Tuesday in the Champions League]."