India is due to post industrial output later in the day, with analysts expecting a return to modest growth, and is due to post wholesale and consumer prices data next week amid expectations vegetable prices have eased.
That is helping raise confidence about the economy, thus supporting foreign inflows and domestic shares, both key factors for the Indian rupee.
Data showing India's trade deficit widened to $10.14 billion in December compared with $9.22 in November had little impact given it came within expectations.
"The market is expecting good factory output numbers and lower inflation. I think the Indian rupee will continue to trade in a 61.50 to 62.50 range next week," said Uday Bhatt, a foreign exchange dealer with UCO Bank.
"If inflation data is better than expectations and rupee breaks 61.80 levels strongly then it could head towards 61.40 but I don't see it breaching 61 soon," he said.
The partially convertible Indian rupee closed at 61.89/90 per dollar compared with 62.07/08 on Thursday. The unit rose as high as 61.83, its strongest since Jan. 2.
Indian shares provisionally edged up on Friday after touching their highest intraday level in nearly a week as software services exporters rose after Infosys Ltd's quarterly earnings beat market expectations.
In the offshore non-deliverable forwards, the one-month contract was at 62.27 while the three-month was at 63.07.
FACTORS TO WATCH
* Euro edges higher on demand for peripheral bonds
* Short-covering before U.S. jobs data supports EMRGFX
* Asia left adrift by mixed CN data, frets on US jobs
* Foreign institutional investor flows
* Rupee ends at 61.89/90 per dlr vs 62.07/08 on Thurs
* Factory output, inflation data to be key for direction
* U.S. non-farm payroll data also watched for cues