Professor Anita Hill is sworn-in before testifying at the Senate Judiciary hearing on the Clarence Thomas Supreme Court nomination. Miss Hill testified on her charges of alleged sexual harassment by Judge Thomas. Bettmann | Getty Images

Former vice president Joe Biden — who launched his third bid for the Democratic nomination for president on Thursday — spoke with Anita Hill, the woman whose treatment during Justice Clarence Thomas' Senate confirmation hearings Biden has said he regrets. But Hill, who accused Thomas of sexual harassment during those hearings, told The New York Times that the conversation earlier this month with Biden was not enough to let him off the hook. "I cannot be satisfied by simply saying I'm sorry for what happened to you," she said. Hill said she could not support Biden's bid for the White House until he accepts responsibility for his handling of the Thomas confirmation hearings in 1991, when he was the chairman of the Senate Judiciary Committee. The panel, which vetted Thomas' nomination by then-President George H.W. Bush, was composed entirely of white men. Both Hill and Thomas are black.

Hill also told the Times that she is disturbed by recent allegations by women who said Biden touched them in ways that made them feel uncomfortable. "Vice President Biden has spoken with Anita Hill," said a spokesman for Biden's campaign. "They had a private discussion where he shared with her directly his regret for what she endured and his admiration for everything she has done to change the culture around sexual harassment in this country." Hill did not return a request for comment from CNBC. A Biden aide first disclosed the conversation between him and Hill during an interview with CNN on Thursday. Several hours later, the Times published online its interview with Hill, which was conducted one day before Biden's camp first revealed their talk. Hill told The Times, "The focus on apology to me is one thing." "But he needs to give an apology to the other women and to the American public because we know now how deeply disappointed Americans around the country were about what they saw. And not just women. There are women and men now who have just really lost confidence in our government to respond to the problem of gender violence." Hill, a law professor who worked under Thomas at two federal agencies, told the committee that Thomas had harassed her when she worked with him. Thomas denied her claims.