Hi there. I think that you'll be fine travelling os. I flew over here from the UK when I was 31 weeks and had no problems. I just got a check up and a fit to fly letter from my UK doc vefore travelling. I think the airlines main concern is you going into labour during the flight , and unless you were doing regular long haul flights there is no danger to your baby. Make sure you get some good flight socks, get up and walk around regularly, drink lots of water and try and sleep as much as possible. I found that the only real problem was getting comfortable as I was so big, but the staff really looked after me. If you can, try and get the bulkhead aisle seat in the middle as you get lots of extra leg space and not too much traffic passing by, plus you might end up next to a cute baby and get some tips on travelling with a tiny one. Good luck