Self Storage » Texas Self Storage » Odessa Self Storage » Self Storage Odessa Self Storage Search Results We've found 2 Odessa Storage Facilities that meet your criteria - Click on any one of them for more information. Refine Search Size 5x5 5x10 5x15 10x10 10x15 10x20 10x30 Features Climate Controlled Drive-up Access Auto/Boat/RV Neighborhood None Found Extra Space Storage 3125 Kermit Hwy Odessa, TX 79764 866-381-7930 Specials First Month FREE!*On Select Units More Info Extra Space Storage 5306 N Grandview Ave Odessa, TX 79762 866-381-7930 Specials First Month FREE!*On Select Units More Info Need Texas storage in another city? Need storage in another Texas zip code? View additional Texas self storagefacilities?