Conyers has continued to deny the women's accounts, and his lawyer said Conyers would not pay back the settlement money that was paid to Brown at taxpayer expense.
Conyers, 88, made the announcement in an interview with a Detroit radio station.
"I think an ethics investigation will vindicate him", said Charles Williams, with Solomon Baptist Church.
Conyers" attorney Arnold Reed told the Detroit Free Press the new allegations from Grubbs are "another instance of tomfoolery from the mouth of Harvey Weinstein's attorney'.
A rally with leaders, ministers and activists is planned Monday in Detroit to call for due process for Rep. John Conyers after sexual harassment allegations against him emerged.
"John Conyers is a great friend, he's a great American, and I'm sure after consultation with his family he made the right decision", said Rep. G.K. Butterfield, D-N.C., another former black caucus chair. Court documents also revealed that another staffer in 2007 filed - and later dropped - a lawsuit against Conyers, claiming that the lawmaker sexually harassed her in 2015 and 2016, while she was working for him.
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'The allegations against congressman Conyers as we have learned more since Sunday are serious, disappointing and very credible, ' said Pelosi, a California representative who notably did not call for Conyers to go during a Sunday appearance on NBC's 'Meet the Press'. "This too shall pass", said Conyers on a local MI radio station Tuesday morning.
The speaker didn't make the same call for Farenthold, R-Texas, who reportedly used $84,000 from a little-known congressional account to settle a sexual harassment claim by a former staffer. "I want you to know that my legacy will continue through my children", he said. He's been re-elected 25 times since and is the longest-serving current member of Congress, and the fourth-longest serving member of the House in history.
On Monday, a crowd of 200 in Detroit showed support for the congressman, who was hospitalized last week for stress related health issues. Another woman accused Conyers of sexual misconduct just days later.
He said he's endorsing his son, John Conyers III, to replace him in Congress. Conyers faced calls to resign following reports that he reached a $27,000 settlement with a former aide who said she was sacked for rejecting his sexual advances.
The reports cite conversations with Conyers' grandson, Ian Conyers.
Republican congressman Joe Barton separately announced last week he would not seek re-election after a nude photograph of him taken while he was separated from his wife circulated online.