I would NOT put him outside and depend on him coming around every day to be checked. If he does not come around and his teeth go all wonky he will likely suffer a horrible death.
Look how often we have to clip teeth on squirrels....every week for some, every other week for others, 7-10 days for yet others. Their teeth grow pretty darn fast so I'm inclined to believe you'll be able to see whether his tooth is going to come back in relatively short order.
I would get an x-ray when you're able.