Washington (CNN) Michael Cohen's lawyer, Lanny Davis, said Wednesday that he believes his client is willing to testify before any congressional committee without being granted immunity.

"Yes, I believe I can say that," Davis told CNN's John Berman on "New Day." "I have not specifically asked my client that question, but I'm stating my belief that the answer to that question is yes," Davis clarified.

Cohen pleaded guilty in Manhattan federal court Tuesday to eight criminal counts, including campaign finance violations tied to his work for President Donald Trump during the 2016 election.

Later on Wednesday, Maryland Democratic Rep. Elijah Cummings, the ranking member of the House Oversight Committee, said he asked committee chairman Trey Gowdy for a hearing with Cohen.

"These are extremely serious crimes that implicate the fundamental underpinnings of our democracy, and they warrant robust and credible oversight by Congress as an independent Constitutional check on the Executive Branch," Cummings wrote in a letter to Gowdy. "Given the gravity of these revelations, I request that you schedule a hearing as soon as possible before the Committee on Oversight and Government Reform to obtain sworn testimony directly from Mr. Cohen."

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