The rupee resumed barely weak at 63.78 as against its previous closing of 63.75 at the Interbank Foreign Exchange market.
It moved in a range of 63.72 and 63.78 during the morning deals before quoting at 63.76 at 1030 hours.
The US dollar index was down 0.09 per cent to 97.81 in early trade.
In New York, the dollar closed the session just below a two-month high against the yen yesterday after a gauge of service sector growth from the Institute for Supply Management rose to its highest level in 10 years.
Oil prices hit multi-month lows yesterday after a surge in gasoline stock in the US as the summer season, which sees highest demand for motor fuels, neared its end.
Rupee loses 19 paise against dollar in early trade
Rupee surges 30 paise vs dollar; rises to 2-week high at 63.74
Rupee closes 9 paise higher
Rupee ends 9 paise lower at 64.13 against dollar
Rupee slips 13 paise vs USD, breaches 64-mark