Irish media reported today that family members want to turn off the woman's life support systems but doctors are refusing because the law requires them to defend the right to life of her 16-week-old fetus.
Fetuses typically cannot survive outside the womb until around 24 weeks.
An expert on Irish medical law, Dr Adam McAuley, says Dublin High Court most likely will determine whether the woman will be kept on life support to attempt delivery of the baby.
Ireland last year amended its abortion ban, legalizing the right to a termination if a woman's life is endangered by continued pregnancy.