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".
"Prof Dr G Khilnani, Department of Medicine, All India Institute of Medical Sciences (AIIMS), visited Apollo Hospital again on October 9 and 10 and examined Honourable Chief Minister," the hospital's Chief Operating Officer, Subbiah Viswanathan, said in a release.
Jayalalithaa continues to be under treatment and "is being constantly monitored by the intensivists and other consultants in the expert panel", it added.
Necessary respiratory support, antibiotics, nutrition, supportive therapy and passive physiotherapy were being given to her, the release said.
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Earlier, Union minister M Venkaiah Naidu, who visited the hospital yesterday, described Jayalalithaa as a "fighter" and expressed confidence that she would continue to serve the people of Tamil Nadu.
Kerala Governor P Sathasivam, Chief Minister Pinarayi Vijayan and Puducherry Lieutenant Governor Kiran Bedi also visited the hospital and quoted the doctors as saying that Jayalalithaa "was recovering".
Vijayan, accompanied by Sathasivam, visited the hospital and held discussions with hospital CMD Prathap Reddy.
"We met Dr Prathap Reddy and the other doctors providing treatment to the chief minister. The specialists informed us that she was responding well to the treatment," Sathasivam told reporters.
Bedi said, she was informed by Reddy that Jayalalithaa was
"progressing".
"He said, Amma (as Jayalalithaa is addressed) is under very good care and that she is progressing. I would like to pray for her to keep progressing. I have come here out of absolute respect as a neighbour as Puducherry is Tamil Nadu's neighbour and it is my duty to be here," she said.
Meanwhile, the AIADMK said "all is well" with Jayalalithaa.
Party workers and supporters continued to hold prayers across the state at different places of worship for the chief minister's speedy recovery.
Meanwhile, the police today arrested two persons, including a software engineer, for allegedly spreading rumours regarding Jayalalithaa's health.
The Central Crime Branch arrested Sathish Kumar, a software engineer from Tiruchengode, for allegedly sharing such information on his Facebook page.
He "confessed" to his crime, the police said, adding that the arrest was made on a complaint from AIADMK IT Wing secretary G Ramachandran.
The two were booked under IPC sections dealing with "wantonly giving provocation with intent to cause riot" and "statements creating or promoting enmity, hatred or ill-will between classes," the police said, adding that they were remanded to judicial custody.
Steps were on to nab those behind "spreading rumours" about the chief minister's health, the police said.
Efforts were on to remove such posts from social platforms such as Facebook, Twitter, YouTube and WhatsApp, the police said, adding that 43 cases have been filed so far in this regard.