A court in New Delhi will also decide whether to punish officials for failing to boost erratic supplies of oxygen for overstretched hospitals.
With 382,315 new confirmed coronavirus cases, India s tally has risen to more than 20.6 million since the pandemic began.
The health ministry also reported 3,780 deaths in the last 24 hours, bringing the total to 226,188. Experts believe both figures are an undercount.
Rahul Gandhi, a leader of the opposition Congress party, said this week "a lockdown is now the only option because of a complete lack of strategy by the Indian government".
The New Delhi high court will decide whether to press contempt charges against officials for defying its order to meet oxygen requirements of more than 40 hospitals in the capital.
Those found guilty face six months in prison or a fine.
The court summoned two home ministry officials for Wednesday's hearing.
"You can put your head in the sand like an ostrich - we will not. We are not going to take no for an answer," justices Vipin Sanghi and Rekha Palli said.
Hospitals are reducing the number of beds and asking patients to move elsewhere, the judges said.
The court is hearing petitions filed by several hospitals and nursing homes struggling with irregular oxygen supplies.
Raghav Chaddha, a spokesman for the Aam Aadmi Party governing New Delhi, said hospitals were getting only 40% of their 700 metric tonnes of requirements through the federal government, and the local government was arranging additional supplies to meet the shortfall and setting up new oxygen plants.
The latest wave of infections since April has pushed India's health care to the brink with people begging for oxygen cylinders and hospital beds on social media and news channels.
Bodies have been piling up at cremation grounds and in graveyards with relatives waiting for hours to carry out the last rites.
Dileep Kumar, a student, said he was asked by hospital authorities to shift his father to another hospital in Ghaziabad, a town on the outskirts of New Delhi, after it ran out of oxygen on Tuesday.
Authorities are scrambling to add more beds, sending oxygen from one corner of the country to another, and scaling up manufacturing of the few drugs effective against Covid-19.
Prime minister Narendra Modi's government is reluctant to impose a national lockdown over fears of the economic fallout. He said last month that such a move should be the last resort.
However, nearly a dozen states have imposed curbs on their own.
The most populous state of Uttar Pradesh, with 200 million people, implemented a five-day lockdown this week.
The country's second and third most populated states of Maharashtra and Bihar are also under lockdown with varying curbs.
Efforts to scale up the vaccination drive are hampered by the shortage of doses. India, a country of 1.4 billion, has so far administered 160 million doses.
The global community is extending a helping hand. The UK, US, Germany and several other nations are rushing therapeutics, rapid virus tests and oxygen to India, along with some materials needed for India to boost its domestic production of Covid-19 vaccines.
Reporting by PA