The Indian media and former cricketers have come down heavily on the cricket team after its defeat against Sri Lanka in the World Cup tournament on Friday.
India are facing elimination from the World Cup after losing by 69 runs to Sri Lanka in Trinidad.
The remote hope for the 2003 finalists is Bermuda beating Bangladesh on Sunday and even then run-rates would feature.
Recently, irate fans attacked Indian wicket-keeper Mahendra Dhoni's house which was under construction in eastern Jharkhand state.
There have been small protests against the team in some cities, and effigies of the players burnt in the eastern city of Calcutta.
Dravid said he expected a lot of fans to be angry after Friday's defeat which has almost put India out of the reckoning.