This comment below the question Rocket explosion compared to kT of TNT; has one ever knocked something over at a distance? suggests that
...TNT includes it's own oxidizer...
Explosion isn't the same as combustion and you don't need to add a separate oxidizer to an explosive for it to do its thing.
But technically speaking does the explosion of TNT include any steps that could be considered as oxidative? Can some intermediate products be considered to be acting as oxidizers?