Jaitley, 66, was rushed to the All India Institute of Medical Sciences (AIIMS) on August 9 after he complained of breathlessness and restlessness.
According to sources, he is on life support system. A multidisciplinary team of doctors is consistently monitoring his condition.
AIIMS has not issued any bulletin on Jaitley's health condition since August 10.
Several prominent leaders, including Union ministers Rajnath Singh, Smriti Irani, Jitendra Singh and Ram Vilas Paswan, Delhi Chief Minister Arvind Kejriwal, Congress' Abhishek Singhvi and Jyotiraditya Scindia, BSP supremo Mayawati and RSS chief Mohan Bhagwat have visited the hospital in recent days to enquire about Jaitley's health and meet his family members.
Union Health Minister Harsh Vardhan had said on Friday,"Doctors at AIIMS are doing the best they can."
President Ram Nath Kovind, Union Home Minister Amit Shah and Uttar Pradesh Chief Minister Yogi Adityanath had visited AIIMS on Friday to check on the leader's health.
Jaitley, a lawyer by profession, had been a key member of Prime Minister Narendra Modi's Cabinet in the BJP government's first term. He held the finance and defence portfolios, and often acted as the chief troubleshooter of the government.
Jaitley did not contest the 2019 Lok Sabha election presumably because of his ill-health.
In May this year, Jaitley was admitted to AIIMS for treatment.
He had undergone a renal transplant on May 14 last year at AIIMS with Railways Minister Piyush Goyal filling in for him in the finance ministry at that time.
Jaitley, who had stopped attending office since early April last year, was back in the finance ministry on August 23, 2018.
In September 2014, he underwent bariatric surgery to correct the weight he had gained because of a long-standing diabetic condition.