Conyers, 88, is now subject to a House Ethics Committee investigation after the Detroit Democrat was accused of sexually harassing former staffers, including spending more than $27,000 from his taxpayer-funded office budget to pay off a woman who said she was sacked for resisting his sexual advances.
Jerrold Nadler of NY, the second-ranking Democrat on the judiciary committee, said in a statement: "Conyers has a 50-year legacy of advancing the cause of justice, and my job moving forward is to continue that critical work".
Conyers said the allegations were "raised by documents reportedly paid for by a partisan alt-right blogger" and looks "forward to vindicating myself and my family before the House Committee on Ethics".
Conyers added, "I would urge them to continue to do so for any Member accused of wrongdoing".
Conyers has admitted to making the payment to avoid public litigation, but has denied any sexual harassment claims. "I can not in good conscience allow these charges to undermine my colleagues in the Democratic Caucus, and my friends on both sides of the aisle in the Judiciary Committee and the House of Representatives".
Pelosi, the leader of the House Democrats and a former Speaker, opened herself up to fierce criticism and outcry Sunday when she failed to call for Conyers' resignation, instead referring to him as an "icon" and suggesting that his accusers "haven't really come forward".
Todd directly asked Pelosi if she believed Conyers accusers, a question she dodged.
Conyers, whose MI district includes half of Detroit, is the last member of either house of Congress to have served under President Lyndon Johnson in the 1960s.
Conyers again denied the harassment allegations in a statement released Sunday but said he has requested to step down as the Judiciary Committee's ranking member.
The announcement came less than a week after a report saying that Mr Conyers had settled a complaint in 2015 brought by a former employee.
"Any credible accusation must be reviewed by the Ethics Committee expeditiously".
But separately, she tweeted, in reference to Conyers, that "no matter how great an individual's legacy, it is not a license for harassment".
The Michigan representative, she said, would "do the right thing". Al Franken of Minnesota and Republican Alabama Senate candidate Roy Moore also are the subject of accusations.