In a statement, the CIA said it was “deeply troubled by the allegations”.
It said it had launched an independent investigation into the matter.
CIA director John Brennan said it would “follow all applicable law”.
“It is the responsibility of the CIA to maintain the highest standards of integrity in our oversight and investigation of our nation’s intelligence community, and we will continue to do so,” he said.
The US Senate intelligence committee also expressed concern.
Senator Mark Warner said the allegations were “extremely serious”.
“The US intelligence community must be held to a higher standard of conduct, which includes a thorough investigation into these allegations,” he wrote in a statement.
“If the allegations are substantiated, they could be very damaging to the integrity of our intelligence community and the country as a whole.”CIA director Brennan is widely expected to step down in the coming months, although some reports have suggested he might stay on.
Earlier this year, the Senate committee called on the CIA director to resign after he said there were “serious questions” about the effectiveness of its interrogation programme.
Mr Brennan’s spokesman said the CIA was “continuing to review” the allegations, and was looking into “all relevant issues”.
“We are committed to continuing to be as transparent as possible with the American people and our broader allies, including through a comprehensive review of our practices and the allegations,” the statement said.