The rupee is off the day's low of 54.18 and trading at 54.05/06 versus its previous close of 53.8050/8150 as dollar demand from a large iron ore miner seen earlier in the session fades.
Traders say there is also good resistance around 54.20 levels, a level from where the pair has bounced back in recent sessions.
Broad gains in the dollar versus major units, however, prevent a further fall in the pair. The dollar hit a two-month high against a basket of major currencies after job reports last week highlighted relatively solid U.S. economic fundamentals.
The Sensex is trading flat, fail to provide any clear direction on foreign fund flows.