"Three babies have been taken off the ventilator and the fourth baby is also showing good progress," the Dean, Dr Narayana Babu, told PTI.
One more infant was admitted today and needs both ventilator and incubator support, he said.
Dr Babu said 70 infants are being treated at the Neonatal Intensive Care Unit (NICU). Of them five need intensive care, 46 are "good" being fed by their mothers' and 19 are showing "very good progress" and would be shifted to ward soon.
Claiming that there had been no medical negligence, hospital authorities had earlier said the deaths were due to "extreme non-viability nature of factors, including pre -existing low birth weight and respiratory distress."
The Director of Medical Education, Dr Geetha Lakshmi and Neonatology specialist, Institute of Child Health, under the Madras Medical College, Chennai, Prof Dr Kumuda conducted the inspections.