Last month the Washington Post reported that Congress has paid out more than $15 million to settle cases of alleged discrimination and harassment.
Two members of Congress, Jackie Speier, a Democrat from California and Barbara Comstock, a Republican from Virginia, are jointly sponsoring a bill which would overhaul how Congress handles complaints of sexual harassment.
The bill would require compulsory training on harassment and discrimination for all members of Congress and their staff.
Mr Conyers, a Democrat who entered the House of Representatives in 1965 and is a co-founder of the Congressional Black Caucus, has been under mounting pressure to since details emerged of the complaint which was made by the former staffer in 2015.
Although he paid $30,000 to settle the complaint, Mr Conyers has strongly denied any wrongdoing and insisted the payment was not an admission of liability.
