NEW YORK (CBSNewYork)Gov. Andrew Cuomo spoke out Sunday amid new allegations this weekend of sexual harassment and inappropriate behavior.

The new stories prompted some top Democrats to call on the governor to resign, but during an afternoon news conference he said he will not, CBS2’s Lisa Rozner reported.

Ana Liss is the latest former aide to accuse Cuomo of inappropriate behavior.

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She told the Wall Street Journal that during her tenure from 2013 to 2015 Cuomo asked if she had a boyfriend, called her “sweetheart,” touched her on her lower back, and kissed her hand. She claims he never asked her about her work, focusing instead on personal questions or her appearance.

Two other former aides to the governor have previously accused him of sexual harassment, along with a woman who met him at a wedding.

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Karen Hinton, who worked for Cuomo when he was secretary of Housing and Urban Development, told the Washington Post she endured a “very long, too long, too tight, too intimate” embrace from Cuomo in a Los Angeles hotel room back in 2000. Cuomo said Sunday afternoon it’s not true, and called Hinton a long-time political adversary.

State Senate Majority Leader Andrea Stewart-Cousins called the scandal a distraction and is questioning Cuomo’s ability to lead the state.

“Every day there is another account that is drawing away from the business of government. We have allegations about sexual harassment, a toxic work environment, the loss of credibility surrounding the COVID-19 nursing home data and questions about the construction of a major infrastructure project,” Stewart-Cousins said in a statement. “New York is still in the midst of this pandemic and is still facing the societal, health and economic impacts of it. We need to govern without daily distraction. For the good of the state Gov. Cuomo must resign.”

Assembly Speaker Carl Heastie said in a statement, “It’s time for the governor to seriously consider whether he can effectively meet the needs of the people of New York.”

“The allegations pertaining to the governor that have been reported in recent weeks have been deeply disturbing, and have no place whatsoever in government, the workplace or anywhere else. I, too, share the sentiment of Senate Majority Leader Stewart-Cousins regarding the governor’s ability to continue to lead this state,” Heastie added.

READ MOREGov. Cuomo Says He Will Not Resign Amid Sexual Harassment Allegations: ‘I Never Touched Anyone Inappropriately’

At a 1 p.m. telephone news conference, Cuomo said he would not resign.

“I’m going to do the job I’m assigned. I’m going to do the job that the people elected me to do. I’m not going to play politics with people who say, ‘Well, I think you should resign.’ That’s nice. I’m going to do my job. Wait for the facts from the attorney general,” Cuomo said.

CBS News reported the governor spent the weekend calling state lawmakers, including Stewart-Cousins, with that same message.

Cuomo, however, didn’t dispute Liss’ descriptions of some of their interactions.

“I say to people in the office, ‘How are you doing? How’s everything? Are you going out? Are you dating?’ That’s my way of doing friendly banter,” Cuomo said.

Attorney General Letitia James is overseeing an independent investigation into the sexual harassment allegations.

Senate Majority Leader Chuck Schumer was asked Sunday if Cuomo should resign.

“Look, I have full faith in the attorney general’s investigation,” Schumer said.

New Jersey Gov. Phil Murphy also chimed in.

“This is deeply troubling, deeply concerning. Let’s let this independent investigation play out, hopefully on an expedited basis,” Murphy said.

The president of the NAACP’s New York Conference echoed those sentiments.