Sen. Chuck Grassley Charles (Chuck) Ernest GrassleyOvernight Health Care: Drug execs set for grilling | Washington state to sue over Trump rule targeting Planned Parenthood | Wyoming moves closer to Medicaid work requirements Senate reignites blue slip war over Trump court picks Lower refunds amplify calls to restore key tax deduction MORE (R-Iowa) signaled on Monday that his committee could take up two bills aimed at protecting Robert Mueller, the special counsel for the investigation into potential ties between President Trump's campaign and Russia.

"We're looking into it, and there's a good chance we'll have a hearing," Grassley, chairman of the Judiciary Committee, told reporters.

He added that no decision has been made on scheduling a hearing.

Lawmakers have introduced two bills that would put checks on the Trump administration's ability to fire Mueller.

One, from GOP Sen. Lindsey Graham (S.C.) and Democratic Sen. Cory Booker Cory Anthony BookerSanders: 'Damn right' I'll make the large corporations pay 'fair share of taxes' GOP Sen. Tillis to vote for resolution blocking Trump's emergency declaration Warren Buffett: I would support Bloomberg if he ran for president MORE (N.J.), would require a judge to approve a Justice Department request to fire Mueller or any other special counsel.

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Another, from GOP Sen. Thom Tillis Thomas (Thom) Roland TillisGOP Sen. Tillis to vote for resolution blocking Trump's emergency declaration The Hill's Morning Report — Emergency declaration to test GOP loyalty to Trump Don’t look for House GOP to defy Trump on border wall MORE (N.C.) and Democratic Sen. Christopher Coons Christopher (Chris) Andrew CoonsTrump got in Dem’s face over abortion at private meeting: report Live coverage: Trump delivers State of the Union Actor Chris Evans meets with Democratic senators before State of the Union MORE (Del.), would let Mueller or any special counsel challenge their firing in court.

Tillis told CNN last week that the Judiciary Committee would hold a hearing in the next two weeks.

The Judiciary Committee is currently running an investigation into interference in the 2016 election, potential attempts by the Obama or Trump Departments of Justice to interfere in FBI investigations and the firing of former FBI Director James Comey.

Trump and his allies have lashed out at Mueller, who is probing Russia's interference in the 2016 election and any ties to the Trump campaign. The war of words has raised concern that Trump or the Justice Department could try to fire Mueller.