The rupee weakened by another 4 paise to 66.44 against the dollar in early trade on Wednesday at the Interbank Foreign Exchange market on increased month-end demand for the US currency from importers.
Forex dealers said mainly sustained month-end demand from banks and importers weighed.
A weakness in the US dollar against some currencies in the global market and a higher opening of the domestic equity market, however, limited the fall.
On Tuesday, snapping its eight-day long winning streak against the American currency, the rupee had dropped by 21 paise to 66.40.