The rupee is marginally higher at 61.73/74 versus its Friday's close of 61.7625/7725.
Dealers expect the rupee to hold in a 61.50 to 61.80 range during the day.
Foreign fund flows into the share market will be crucial for direction.
The Nifty is trading up 0.42%.
Asian shares are broadly higher on prospects of further policy stimulus in China and Europe.
Most Asian currencies also trading stronger compared to the dollar.