Gains in the US dollar against major global currencies after data last week showed a better-than-expected jump in US jobs creation put pressure on Indian unit, dealers said.
Fresh demand for the American unit from importers also weighed on the rupee.
Besides, a lower opening of the domestic equity markets, weighed the rupee, they said.
The rupee had rebounded 15 paise to close at two-week high of 61.77 against the dollar at the Interbank Foreign Exchange on Friday.
Meanwhile, the benchmark BSE Sensex fell by 77.17 points, or 0.27 per cent, to 28,380.93 in early trade.