The rupee is trading at 61.33, little changed from Monday's close of 61.30/31.
Traders said the euro holding up against the dollar is supporting the rupee.
There was some dollar selling from custodian banks earlier in the session, they said.
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Most expect the pair to trade around these levels for the rest of the day.
All eyes are on the Fed meet due Oct 28-29.
The 50-share Nifty index is up 0.22%.