Oak Street Medical Praxis Health. Health (6 days ago) Oak Street Medical. 1426 Oak Street. Eugene, OR 97401.Phone: (541) 431-0000. Billing: (541) 431-0000. Fax: (541) 344-6176. Visit Website. Oak Street Medical provides a unique combination of complementary health care services that includes Primary Care, Diabetes and Mental Health, as well as Allergy, Asthma and Immunology through Oregon Allergy.