"Ms. Kraushaar has decided not to hold a press conference unless and until the other women come forward and wish to participate," her attorney, Joel Bennett, said in a statement.
Two of the four other women who have said Cain harassed them have not responded to Kraushaar's communications, the New York Daily News reported.
Kraushaar, a former employee of the National Restaurant Association, which Cain ran from 1996 to 1999, thanked Sharon Bialek for going public with her allegations of Cain's "inappropriate" activity 14 years ago but said she "believes it would be more meaningful to have all four women present and participating," Bennett said.
"My client is an intelligent, well-educated woman who knows the difference between a compliment and sexual harassment," Bennett added.
Cain has said he mentioned to Kraushaar that she was the same height as his wife but he says he did nothing wrong.
"The incidents were not about how tall she was or that she was wearing a nice dress or anything along those lines," Bennett said. "It was sexual harassment, not something innocent or something that could have been misconstrued."