We have actually had a couple of cases of this happening where i work - no baby has ended up in the NICU and there has been no adverse outcomes but we have had baby's needing a bit of resus after being smothered by breast tissue and it hasn't been during breastfeeding but during skin-to-skin. If women have large breasts then this seems to be a little more af a risk. To combat this we now have a policy that all babies are placed skin-to-skin in a vertical position rather than a horizontal position, so the baby's head is up on the boney part of mums chest - if mum is a little drowsy and in that blissful hormonal place after birth and the baby kind of slips it's not going to slip into the breast tissue. During the first breastfeed we try and stick fairly close but like Kelly said due to other demands we are not always able. In this case we try and make sure there is a support person who is going to stay in the room and be fairly able to keep an eye on the baby. So scarey I hope that baby has a good outcome Fi.