There is the possibility that it could cause some difficulties. You will want to try and induce vomiting to try and get the tea bag back up. You can read how to do this here:
Instructions on inducing vomiting can be found here.http://www.bichonfriseusa.com/ref/inducevom.htm
You will want to monitor him for a fast heart rate, vomiting, a lot of lip licking indicating nausea, increased thirst, painting, inability to defecate which are all signs that there might be an issue needing to be addressed. You would want to have him seen by your vet. . You can read about obstructions
I hope this information is helpful to you.