While it's true that I don't know for sure, I feel that I can make an educated guess. She must have provided some much-needed comfort whenever you've fallen short of surpassing me.

[He then turns his attention back to the dog, warmly.]

Don't worry. In order to avoid confusing you, I will allow you to continue going by the name of Jasmine. Just come to me when you're ready for a new master.

[He's fed the dog enough, so after a few more final pets, Byakuya unfolds to his full height.]