MrCuddly
You wang, wittle wabbit? (Sorry couldn't resist). I've been away for a few days, but the first time I saw your post I didn't answer because I just didn't know the answer.
When I had a tooth extracted, I was told not to do anything that puts pressure in the mouth like sucking on a straw, etc for a few days after. Oil pulling would definitely fits that description. Instead of waiting 3 days to pull, I pulled the second day but without any sucking action - just kind of pushing the oil around my mouth.
Since your post is already 4 days old, you're probably in the clear anyway, but still be very gentle with the swishing for a week or two after just to be safe.
The oregano oil is good for killing bacteria on contact, but not something you want to do for more than a week or two at a time. It IS kind of harsh to use repeatedly and takes the good bacteria with the bad. Not a problem in your current situation, but it wouldn't hurt to go cold turkey for a week here and there. And when you're back to normal only use it if/when you have infections.