The hospital's Chief Operating Officer Subbiah Viswanathan said in a short press release that respiratory support "is being closely watched and adjusted."
Jayalalithaa was admitted to the Apollo hospital in Chennai due to fever.
Tamil Nadu Chief Minister J Jayalalithaa, who was admitted to a hospital in Chennai late Thursday night due to fever, is recovering and continues to be under observation.
Jayalalithaa was admitted to Apollo Hospital on September 22.
The hospital, where the AIADMK general secretary was admitted on September 22 after she complained of fever and dehydration, said she was "constantly being monitored".