Mr Parrikar is being treated in Mumbai for pancreatitis since February 15.
"Chief Minister Manohar Parrikar is undergoing treatment at Lilavati Hospital, Mumbai and is equally responding to the treatment. He is being treated by best of the experts and as per the information his condition is stable," Mr Sawaikar said in a statement.
He denied reports that Mr Parrikar would be shifted to the US for further treatment.
The Prime Minister's Office is also monitoring medical treatment being given to Mr Parrikar, Deputy Speaker in Goa assembly Michael Lobo said.
Prime Minister Narendra Modi had visited Mr Parrikar at the hospital yesterday during his Mumbai visit.
Mr Parrikar was admitted to the Mumbai hospital after an initial check-up in Goa after he complained of stomach pain.
Get the latest election news, live updates and election schedule for Lok Sabha Elections 2019 on ndtv.com/elections. Like us on Facebook or follow us on Twitter and Instagram for updates from each of the 543 parliamentary seats for the 2019 Indian general elections.