The rupee depreciated by 4 paise to 64.08 against the dollar in early trade due to month-end dollar demand from importers.
Besides, a weak opening in the domestic equity market weighed on the rupee, dealers said. A weakness in the US dollar against major world currencies in global market however limited rupee fall.
The rupee had lost 27 paise to close at more than 5-week low of 64.04 per dollar in the precious session on Friday following persistent demand for the US currency from banks and importers.
Meanwhile, the benchmark BSE Sensex fell below the 28,000-mark to trade at 27,875.31, down by 237 points, or 0.84% over previous close.