The woman seeking to speak out is one of three former employees who have complained about inappropriate behavior while Cain was president of the National Restaurant Association. Cain said the allegations are untrue.
The website Politico, which first posted the original story about two women alleging harassment, said the two women agreed to settlements that included nondisclosure agreements.
The attorney for one woman said she wants the chance to go public.
"Mr. Cain has been giving the impression that she is someone who came out and made false allegations, and that's certainly not true. She's still deciding, once we hear from the restaurant association, what she'll do if they'll waive the confidentiality," said Joel Bennett, the attorney for Cain's accuser.
A spokeswoman for the restaurant association said the group has not been contacted by the attorney.
Wednesday, A third former employee considered filing a workplace complaint against Herman Cain over what she considered aggressive and unwanted behavior when she and Cain worked together during the late 1990s, the woman told The Associated Press on Wednesday. She said the behavior included a private invitation to his corporate apartment.
The woman said he made sexually suggestive remarks or gestures about the same time that two co-workers had settled separate harassment complaints against Cain, who was then the head of the National Restaurant Association.
The woman spoke only on condition of anonymity, saying she feared retaliation.
Cain's representative J.D. Gordon released a statement Wednesday: "Mr. Cain has said over the past two days at public events that we could see other baseless allegations made against him as this appalling smear campaign continues.
"He has never acted in the way alleged by inside-the-beltway media, and his distinguished record over 40 years spent climbing the corporate ladder speaks for itself.
"Since his critics have not been successful in attacking his ideas, they are resorting to bitter personal attacks. Mr. Cain deserves better."
Cain has repeatedly denied he ever harassed anyone but has struggled to remain consistent on the details. He first denied remembering the specifics of the complaints, then offered up some details of an incident in which a woman apparently had trouble with a hand gesture he says he used to compare her height to that of his wife, Gloria. He said in interviews that the details had come back to him during an intense day of questioning.
Amid the allegations, Cain is trying to project an image of campaign business as usual. The Georgia businessman on Wednesday planned to give a speech on health care in northern Virginia followed by a trip to Capitol Hill to meet with congressional Republicans.
The Associated Press contributed to this report.