The PTI said she had been taken off a ventilator but showed early signs of infection in a “mixed response.”
Kumar said police would deploy marshals on buses which are commonly used by female commuters.
“The [policing] regime that we are going to put in place will be very, very strict,” the police commissioner said, adding public transport drivers will be forced to carry identity tags.
Singh also said the under-pressure government would take a “view” on the demands by protesters in several Indian cities for mandatory death sentences for rapists.
A parliamentary panel overseeing internal security said it would be meeting this week to review existing laws to deal with sex offenders.
New Delhi’s metro system reserves a carriage in every train for women, while several police stations in university districts have all-female staff to try and stem rising crime against women.