Rep. Katie Hill Katherine (Katie) Lauren HillObama counsels NBA players on forming a social justice committee Republicans cast Trump as best choice for women House GOP campaign chairman insists party will win back majority MORE (D-Calif.) said Sunday she expects House Oversight Chairman Elijah Cummings Elijah Eugene CummingsBlack GOP candidate accuses Behar of wearing black face in heated interview Overnight Health Care: US won't join global coronavirus vaccine initiative | Federal panel lays out initial priorities for COVID-19 vaccine distribution | NIH panel: 'Insufficient data' to show treatment touted by Trump works House Oversight Democrats to subpoena AbbVie in drug pricing probe MORE (D-Md.) will ultimately refer longtime Trump associate Michael Cohen Michael Dean CohenA huge deal for campaign disclosure: Trump's tax records for Biden's medical records Our Constitution is under attack by Attorney General William Barr Eric Trump says he will comply with New York AG's subpoena only after Election Day MORE to the Department of Justice for alleged perjury related to his testimony late last month.

Hill, a member of the Oversight panel, said on "Fox News Sunday" that she's unsure if Cohen lied to lawmakers when he said he "never asked for, nor would I accept, a pardon from" Trump, despite reports that his former attorney raised the idea with the president's lawyers last year.

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"I don’t know if he lied or not," Hill said. "I think that this is, Chairman Cummings is incredibly deliberate. I know that he's reviewing the entire testimony, all the transcripts with [ranking member Jim Jordan James (Jim) Daniel JordanSunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election House passes resolution condemning anti-Asian discrimination relating to coronavirus Republicans call for Judiciary hearing into unrest in cities run by Democrats MORE (R-Ohio)], who also is going to make sure that we get to the bottom of this."

Lanny Davis, who currently represents Cohen, told The Wall Street Journal last week that Cohen directed his then-attorney last summer “to explore possibilities of a pardon at one point with Trump lawyer Rudy Giuliani as well as other lawyers advising President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE.”

The Journal had previously reported that Cohen's former lawyer raised the possibility of a pardon with Giuliani and other Trump attorneys after an April FBI raid of Cohen's home and office.

Davis said Cohen only explored the possibility of a pardon while he was in a "joint defense" agreement with Trump. He left that agreement in July last year.

"But after July 2, 2018, Mr. Cohen authorized me as a new lawyer to say publicly Mr. Cohen would never accept a pardon from President Trump even if offered," Davis said in a statement to The Hill. "That continues to be the case. And his statement at the Oversight Hearing was true — and consistent with his post joint defense agreement commitment to tell the truth.”

Referring to reports that Cohen's attorneys discussed a pardon with Trump's attorneys, Hill said she doesn't know "how that went down exactly," but she believes Cummings will end up referring Cohen to the DOJ over his testimony.

"I would imagine that in the panic that was going on when you’re about to go down, right, that you’re going to say like 'yeah, figure out whatever you can do,'" Hill said. "And I imagine that Chairman Cummings will end up referring him. That’s just my guess."

"When Chairman Cummings says something like I’m going to nail you to the cross, he means it," Hill said, a reference to Cummings' warning to Cohen at the outset of the hearing earlier this month.

Cohen, who worked for roughly a decade as Trump's personal lawyer and fixer, implicated the president in potentially criminal activity during his explosive day of testimony in late February. Jordan and Rep. Mark Meadows Mark Randall MeadowsHouse moves toward spending vote after bipartisan talks House Democrats mull delay on spending bill vote Southwest Airlines, unions call for six-month extension of government aid MORE (R-N.C.) have already referred Cohen to the DOJ for perjury over separate comments.

Cohen is facing a three year prison sentence after pleading guilty last year to tax fraud, bank fraud, campaign finance law violations and lying to Congress over the timing of a Trump Tower development in Moscow.