Contact Us Important Telephone Numbers At Covenant Health, we’re happy to answer your questions and help you in any way we can. For more information about a patient, visiting hours, maps and directions to hospitals and other hospital policies, please contact us at: Covenant Medical Center 3615 19th Street Lubbock, Texas 79410 806.725.0000 Covenant Children’s Hospital 4000 24TH Street Lubbock, Texas 79410 806.725.KIDS Covenant Specialty Hospital 3815 20th Street Lubbock, Texas 79410 806.725.9200 Covenant Hospital Levelland 1900 College Avenue Levelland, TX 79336 (806) 894-4963