Should be ok, but then I thought that too. I organised a 3 day conference last year, ds due on day 2, I risked it, took a bag and my notes (was 2 mins away from hospital) it was a conference for drs, a couple of gynae drs were there, one wouldn't leave me alone "you ok? You sure" anyway, due day comes and goes, no probs, 10 mins before the end of day 3, I get a funny twinge and think oh fuck, next second waters burst, but they don't just go normally, oh no, they actually gushed
gynae Dr comes running, I get propped in a corner in active labour, and 400 odd drs trying to get a front row seat.
Plus side - the feedback was great, the most entertaining conference they ever been to apparently 
Now it's told as a nice story in the office 
Not to scare you or anything, I am trying to say, it'll be fine, even if it does happen. I'm just saying it badly