AHRC had also launched a world wide urgent appeal asking the father of the dead baby to pardon the Sri Lankan teenager.
The rights body said the girl was 17 years old at the time and had traveled to the desert kingdom to work as a housemaid on a falsified passport which showed she was older, and the baby's death was not deliberate.
"There is ground for concern as the deadline for filing the appeal is approaching. The Sri Lankan government has not made a decision to pay the legal costs, nor has it replied to others who have volunteered to help in this matter," Moon Jeong Ho of the Asian Human Rights Commission said in a statement.
"Given the past experience of four other Sri Lankan who faced the death sentence in Saudi Arabia without any legal assistance being given