The rupee closed at 155.15/25 per dollar, compared with Wednesday's close of 155.05/15. Sri Lanka's stock, bond and foreign exchange markets were closed on Thursday for a holiday.
The rupee hit a record low of 155.90 per dollar on Feb. 14.
"Import settlements were there today being yesterday a holiday. There was demand today. There were remittances also but they were not sufficient to cover the imports," said a dealer.
The local currency has weakened 1.1 percent so far this year, after declining 2.5 percent last year and 3.9 percent in 2016.
It is expected to be pressured by continued importer demand for dollars ahead of the traditional New Year in April, dealers said.
Gradual depreciation in the rupee and higher volatility this year are expected on account of debt repayments by the government, dealers added.
The government must repay an estimated 1.97 trillion rupees ($12.68 billion) in 2018 - a record high - including $2.9 billion of foreign loans and a total of $5.36 billion in interest.
Foreign investors sold government securities worth a net 3.7 billion rupees in the week ended Feb. 21, central bank data showed.