Negotiations are continuing between the Lady Cilento hospital and the immigration department in an attempt to come to an agreement over baby Asha.

Protesters are urging Prime Minister Malcolm Turnbull to step in and prevent the 12-month-old refugee from being deported back to Nauru, after she sustained accidental burns on Nauru.

The negotiations are reportedly over the possibility Asha and her family will move to community detention in Brisbane, and not back to Nauru.

A spokesperson from the hospital said Asha remained a patient and that staff were unaware of any immediate plans to move her.

Protesters have maintained an ongoing rally outside the hospital. (Supplied)

An immigration department spokesman said nothing has changed and negotiations are continuing with doctors over the baby’s future.

Hundreds of protesters have been at the scene since last week, when the hospital announced they had decided not to release the infant, who was admitted to the hospital for treatment of accidental burns she sustained on Nauru, until "a suitable home environment is identified".