Due to multiple factors, expect to potentially pay more when booking in August. For low rates, March can be a great choice for travel to Mexico City. Flights to Mexico City from Odessa in March are about $524 on average during March, but can be found for as low as $226.
Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Odessa to Mexico City as you normally would.