I don't think there are any set rules when it comes to tapering off of prednisone but it's good that you are working with your doctor/internist.

"Prednisone is similar to cortisol, a hormone naturally made by your adrenal glands. If you take prednisone for more than a few weeks, your adrenal glands decrease cortisol production. A gradual reduction in prednisone dosage gives your adrenal glands time to resume their normal function." --- https://aiunited.org/wp-content/uploads/STEROIDS-ASTHMA.pdf

I also saw this information that I think explains what is happening and might be helpful to discuss at your upcoming appointment with endocrinology on what would be helpful for lifestyle changes.
-- Glucocorticoid tapering and adrenal suppression testing guide:
https://aiunited.org/glucocorticoid-tapering-and-adrenal-suppression-testing-guide/