Speaking to reporters on Capitol Hill Thursday, Peters said, "I'm extremely troubled by all of the allegations. I think they're very, very credible."
He added, "If the facts are indeed what they appear to be, I think it's very clear that it'll be very difficult for [Conyers] to continue to represent the people of his district."
Watch Peters' full remarks in the video player above.
On Thursday, House Minority Leader Nancy Pelosi, D-Calif., also called the accusations credible and said 88-year-old Conyers should resign.