How frequently can I get a Jessner peel under my eyes?

I recently got a Jessner peel on my face and under my eyes for hyperpigmentation. The hyperpigmentation reduced but I’m planning to do 3 treatment before judging the overall results. I’m wondering how long I should wait before doing it again, specifying around my eyes. I’m using a professional dermatologist and he said 4 weeks. I want to ask here to reassure I’m giving my skin ample time before treatments. Thank you