Asensio has started all five of Madrid's league matches this term but, despite his matchwinning display against the Periquitos, the 22-year-old is not focused on talk that he could be a future Ballon d'Or contender.
Instead, the ex-Espanyol loanee has a different target in mind, with Modric's shirt number in his sights.
"They haven't told me anything to change the number and that's why I haven't been able to decide either," he told reporters. "Ten is a number that I like, but it's in the hands of Modric. In the future, I would like it.
"The Ballon d'Or? In the end, I dedicate myself and if it arrives, it will arrive. We will see in the future."
Asensio was used in 32 of Real Madrid's league games during the 2017-18 campaign and in 33 matches the season prior.