The 33-year-old, who made 37 league appearances as the Bianconeri won their first Serie A title since 2003 last season, is famed for his long luscious locks.
Pirlo told Tuttosport: "Winning the Champions League would be a dream come true for me, the club and my teammates.
"If it were to happen... I'd get a Mohican haircut like Balotelli!"
The draw for the group stages of this season's tournament will be made on Thursday.