Overdrive Ostrich is a member of the Maverick Hunters's 7th Airborne Unit under Storm Eagle's command, but he retired when he lost his ability to fly after an accident. He was later recruited by Sigma, who appreciated his superior speed, being stationed at an abandoned missile base. He launches the one remaining missile on the base, but X arrives at the place in time to intercept it, fighting Ostrich shortly after.
Ostrich's fight is unique in that the player has a large arena to maneuver (in fact the arena loops over, going on infinitely). He will attack bu rushing at the player and kicking him, also using his Sonic Slicer which shoots various slicing projectiles that fall down from the top. If the player leaves Ostrich out of the screen, he will appear to be running in the background and jump over the screen again. His weakness is the Crystal Hunter, which briefly freezes him in place.