Gardaí have released a photo of the baby found abandoned in Rathcoole recently and appealed to her mother to come forward.
The child, who has been named Maria, was discovered by a member of the public earlier this month and is now said to be doing well in hospital.
Several appeals have been made to the mother of the child but she had yet to identify herself to police, who have insisted that they are worried for her welfare and are not considering the case as a criminal investigation.
"We are releasing this photograph so mum can see her little baby girl and we would ask mum to please contact us," said Sergeant Maeve O'Sullivan, Child Protection Unit, Clondalkin.
Anyone with information is asked to contact Clondalkin Garda Station on 01-6667600 or Tusla, the Child and Family Agency, on 01-6206387.
