Rivera has yet to comment on Midler's tweet.
In the 26-year-old interview, Midler told Walters, "I did not offer myself up on the altar of Geraldo Rivera".
However, Twitter users believe Rivera's apology to Midler was not honest.
Mr. Rivera, 74, addressed the encounter in his 1991 memoir "Exposing Myself", in which he said he "put his hands" on Ms. Midler's breasts while preparing for an interview with her in the bathroom.
She also tweeted "Me too", in support of sexual harassment victims around the world, and started gaining traction after ex-Hollywood mogul Harvey Weinstein was revealed to be exerting inappropriate behaviour on women who wanted to appear in his films.More news: Disney's Live-Action 'Mulan' Casts Liu Yifei in Title Role
"He didn't rape me, but it was close", she said.
In the book, Rivera describes his "conquest" of Midler.
"I didn't sufficiently explain that this is a horrendous problem long hidden", he tweeted. Ending the second tweet with "Bette, I apologize", Rivera doesn't make it quite clear what he's sorry for aside from the "distasteful" tone of the book that might have embarrassed Midler. They broke two poppers and pushed them under my nose and proceeded to grope me'.
"No, I better not; I'm gonna get in trouble", Midler began in the interview before Walters encouraged her: "Well, get in a little trouble". He later apologized for the comments, stating, "Harassers are deviants who deserve what is coming to them".
Midler added of the incident, "If I had known 20 years later he was going to end up a slimy talk show host, I never would have even let him in the room".
Shortly after Rivera received a swarm of harsh criticism from Twitter users for suggesting that Lauer's kindness toward his family meant that he would not abuse or harass others and for conflating assault and courtship, his employer Fox News released a statement.