Contact Us Covenant Medical Center Address 3615 19th Street Lubbock, TX 79410 Phone (806) 725-0000 Parking For your convenience, the east parking garage at Covenant Medical Center 19th Street and the surface parking lot at Covenant Women’s and Children’s are reserved exclusively for patient and visitor parking Services Offered With more than 250 multi-specialty physicians, Covenant Medical Group, a member of Covenant Health, is by far the largest medical practice in the Lubbock area. Its primary focus is on providing our region with superior patient care by recruiting and retaining the best doctors in the country. Covenant Medical Group is a self-governing, non-profit medical foundation certified under Texas law to employ physicians and practice medicine. Get Directions