Will wearing a supportive bra help minimize the stretching of the areolas afterwards?

I am a 23 years old women and im having a areola reduction (no lift) with local anesthesia. He will be doing the purse sting technique. I understand wearing a good bra for the first month of so promote healing and reduced swelling but will wearing a supportive bra afterwards for the next 6 months or so help the stretching fo the areolas?