NEW YORK (CNN/Money) - Walt Disney's daughter and his only surviving child says she's keen to see Michael Eisner resign as soon as possible, according to a published report Wednesday.

Walt Disney's sole surviving daughter, Diane Disney Miller, says Michael Eisner should resign. CNNfn's Jen Rogers reports. Play video (Real or Windows Media)

The L.A. Times quoted Diane Disney Miller, 70, on Tuesday as saying that she thinks it's time for Eisner to "step down and let someone else come in for the future."

"New leadership is necessary," the paper quoted Miller in an interview. "I think Michael Eisner did some great things for the company but there are some not so great things."

Eisner is facing increasing pressure from major shareholders, including Miller's cousin and former Disney director Roy Disney, to step down as chief executive after nearly two decades on the job, the report said.

Eisner last week was stripped of his dual role as chairman after about 43 percent of shareholders voted to oppose his re-election to the company's board.

YOUR E-MAIL ALERTS Comcast-Disney bid Stocks Michael Eisner Board of Directors or Create your own Manage alerts | What is this?

The report said Miller did not agree with what she called a "vicious and personal" campaign led by her cousin, saying that an immediate ouster of Eisner could hurt Disney's stock price, making it vulnerable to Comcast's hostile takeover bid for the media and entertainment company.

The Times said Miller sold her personal stock in the company in the late 1980s but her family still owns 2 million shares valued at about $50 million.