Hospitals in the city are in crisis, with intensive care beds full and an acute shortage of medical oxygen.
Delhi's government wants the army to run Covid care facilities and intensive care units.
Across India, case numbers since the start of the outbreak are closing in on 20 million.
The country has seen more than 300,000 new cases a day for nearly two weeks straight while deaths stand at 220,000.
Experts say total Covid cases and deaths in India are likely to be much higher, citing lack of testing and patients dying at home without being seen by doctors.