The 85-year-old National Conference president and Srinagar MP had tested positive for COVID-19 on March 30.
Omar also shared images of party workers and supporters across Jammu and Kashmir praying for the leader's speedy recovery.
Sinha, who met Abdullah's son and NC vice president Omar Abdullah at the hospital, instructed the doctors at the SKIMS to provide best treatment to the MP from Srinagar.
The 85-year-old NC president tested positive for COVID-19 on Tuesday and was kept in home-isolation initially.
It further said that the possibility of taking punitive action, such as a levy of spot fines in accordance with the law, shall also be explored with the local police authorities.
The Lok Sabha MP's son Omar Abdullah urged everyone who came in contact with his father recently to get tested.
Speaking at a Jammu and Kashmir National Panthers Party (JKNPP) function in Jammu, he also said that the Congress has become weak.
He also asserted that India should abide by the United Nations charter on refugees in dealing with the Rohingya crisis.
He also criticised the BJP for allegedly dubbing him and other leaders as "Pakistani" during election time and urged the people to stay away from the "politics of religion and hatred".
Abdullah, MP from Srinagar, said the people of Jammu and Kashmir are praying for the success of this measure as it will bring them some relief.
The plea, which has given a detailed reason for cancelling the provision attachment order of the ED, came up for hearing on March 5 before Justice Ali Mohammed Magrey.
The plea cited alleged remarks made by Abdullah that he sought the help of China and Pakistan against India on Article 370.
Abdullah, 85, was given the first dose of the vaccine at the Sher-e-Kashmir Institute of Medical Sciences, Soura, the officials said.
He was responding to a question about the terrorist attack on police in Bhagat locality of Srinagar on February 19, which left two policemen dead.
In his message on the eve of International Mother Language Day, Abdullah said the mother tongue must be the medium of instruction in schools, especially at the formative stages.