The Indian government is due to unveil its annual federal budget at the end of the month.
The rupee opened nearly a third of a percent weaker on Monday, after signals at the weekend from US Federal Reserve chairman Alan Greenspan that the US economy's structural imbalances could improve sent the dollar to three-month highs against the euro.
But the rupee found support at its lows, as banks bought on behalf of their foreign institutional investor clients and exporters chose to cash in their dollars rather than see rupee appreciation eat into their remittances, dealers said.