Home › Top 5 Veterinary Clinics in Odessa, Texas Find best Veterinary Clinics in Odessa, Texas, with all necessary contact information, including addresses, phone numbers, working hours, map locations, and website links. Eighth Street Animal Hospital US, Odessa, TX 797612210 E 8th St University Small Animal Clinic US, Odessa, TX 797622801 John Ben Shepperd Pkwy COUNTRY VET SPAY/NEUTER CLINIC US, Odessa, TX 797611817 E 8th St Grandview Veterinary Clinic US, Odessa, TX 797623807 E 52nd St Angel Veterinary Clinic US, Odessa, TX 797643412 W University Blvd