Dr Aris Tsigris put the image on his Facebook page after delivering the newborn via caesarean section in Amarousion, north of Athens.
He said that incredibly the baby would not have sensed that it was now outside its mother's body. Usually the sac - where a foetus develops to maturity - breaks on its own during birth, which causes
the mum's "waters" to break.
Dr Tsigris said the amniotic sac remaining completely intact after birth was "ultra rare" and he was left "breathless" by the sight.
The stunned medic added that there was no risk to the baby as it was still feeding off the placenta and would begin to breathe as soon as the sac was broken