Reuters Market Eye - The rupee is trading at 60.54/55, off the session low of 60.68 and versus Monday's close of 60.5250/5350.
Traders say gains in the domestic share market aiding sentiment for the rupee. Nifty up 0.7 percent.
Most Asian FX, however, trading weaker against the dollar, limiting a further fall in the USD/INR pair.
Dollar inflows also low following the U.S. Labor Day holiday on Monday.
The rupee is seen in a 60.50-60.75 range during the day.
(Reporting by Swati Bhat)