Must I continue to renew my medical certificate if I am subsequently issued a certificate after my last certificate was denied, suspended, or revoked, or may I use my current and valid U.S. driver’s license as evidence of medical qualification?

Response by the Federal Air Surgeon
If you are ultimately certified then you are no longer on record with the FAA as having had your most recent application denied or your most recently held FAA airman medical certificate suspended or revoked, etc. Therefore, it is not necessary to maintain airman medical certification thereafter to exercise sport pilot privileges provided you hold a current and valid U.S. driver’s license and provided you otherwise qualify.