N.J.A.C. 13:54-1.6
A permit or identification card may be issued to a person who had previously suffered from a physical defect or disease, or mental disorder, or was an alcoholic if the applicant provides a certificate of a medical doctor or psychiatrist licensed in New Jersey, or other satisfactory proof that he or she is no longer suffering from that particular disability in such a manner that it would interfere with or handicap him or her in the handling of firearms.