The rupee was off highs in the afternoon. Dealers said a state-run bank was buying dollars likely on behalf of oil refiners and importers.
The pair was at 61.75/76. The rupee had risen to as high as 61.52 against the dollar, its strongest level since Oct 31.
Some caution also set in ahead of US nonfarm payrolls data on Friday, which will be key ahead of December FOMC meet.