According to the official, the prime minister had discussed with Azad the swine flu situation at Friday's cabinet meeting.
The prime minister had earlier instructed that there be no shortage of Tamiflu.
Azad has also been told to ensure that the union health secretary meets all state health secretaries and keep the cabinet secretary updated.
A school teacher from a village near Pune and a non-resident Indian (NRI) man who had flown from the US to Ahmedabad died of swine flu Sunday.
These follow the deaths of a woman in Mumbai Saturday and of a 14-year-old girl in Pune Aug 3.
India has reported over 780 cases, of which nearly 500 patients have been cured. The most badly hit states are Delhi and Maharashtra.