Parrikar was admitted to the All India Institute of Medical Sciences (AIIMS) on September 15.
Parrikar, 62, was flown to the national capital owing to his declining health.
He had returned from the US in the first week of September, days after which he was admitted to a hospital in Goa.
Earlier this year, he had undergone a three-month-long treatment in the US.
"Met Shri Manohar Parrikar, the Chief Minister of Goa and inquired about his health at AIIMS today. He is one of the most lovable and honest senior politicians of our country. I wish & hope he will get well soon and serve the society as he ever does," the Vice-President's secretariat tweeted.