I am not sure how much the hollowness can improve with time. If you're still not happy with the outcome of your procedure at 3 months post treatment, often fillers such as Restylane can be helpful and give support to the lower lid and revolumize that area.
Thank you for your question. With each patient being unique, recoveries vary from patient to patient. Some patients may need 3 months for final results. I suggest that you continue to keep your board certified facial plastic surgeon updated on your recovery progress and remain patient.