The rupee is trading at a session high of 59.96/60.00 after earlier hitting a one-week high of 59.32. The pair closed at 59.66/67 on Wednesday.
Traders say the fall in the euro from the day's high is prompting market participants to add long positions in the dollar. Euro trading at $1.3035, off the day's high of $1.3201.
However, domestic shares gain, with BSE index up nearly 2 per cent. Traders expect the dollar/rupee pair to see some resistance closer to the 60 mark.
