(CNN) Rep. Eliot Engel, who is poised to lead the House Foreign Affairs Committee, plans to conduct a thorough review of US policy towards Saudi Arabia -- and that could include Jared Kushner's ties to the crown prince, Mohammed bin Salman, according to a Democratic aide.

Engel is "committed to conducting a top-to-bottom review of U.S. policy towards Saudi Arabia and that includes what has driven the US response to the Jamal Khashoggi murder," said spokesman Tim Mulvey, referring to the October killing of The Washington Post journalist in the Saudi consulate in Istanbul.

Asked if that meant probing the ties between Kushner and the crown prince, Mulvey said: "Everything is on the table."

The comments are the latest sign that the White House's handling of the Khashoggi murder is bound to face fresh scrutiny in the new Congress -- beyond this month in the final days of an all-Republican controlled Capitol.

The Senate could vote this week to withdraw US support for the Saudi-led war in Yemen. The Senate Foreign Relations Committee is also weighing whether to also vote on legislation to suspend arm sales with the country and sanction individuals responsible for the murder of Khashoggi -- including potentially the crown prince and his alleged role in ordering the killing. But "intense" negotiations between Senate Foreign Relations Chairman Bob Corker, a Tennessee Republican and the ranking Democrat, Bob Menendez of New Jersey, over the contents of the sanctions bill are still ongoing, according to an aide familiar with the process.

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