The rupee fell to as much as 61.11, the lowest since August 14, tracking weaker Asian currencies.
It was last trading at 61.04 versus Friday's close of 60.65/66.
Traders cited sustained dollar buying from foreign banks.
USD/INR pared some gains after RBI Governor Rajan's comments. Rajan said India's macroeconomic indicators are improving and inflation has been coming down.