WASHINGTON — Senate Democrats intend to force a vote this coming week on the Trump administration’s move to lift sanctions against companies controlled by an influential Russian oligarch, intensifying a new line of scrutiny of the administration’s handling of Russia policy.

Senator Chuck Schumer of New York, the minority leader, said on Saturday that the sanctions on the business empire of the oligarch, Oleg V. Deripaska, should remain in place, and that a deal negotiated by the Treasury Department to remove them was “flawed and fails to sufficiently limit” Mr. Deripaska’s “control and influence of these companies.”

Mr. Schumer announced that he intended to use a provision in a 2017 sanctions law to prompt a full Senate vote as soon as Tuesday on a resolution to block the Treasury Department’s deal with Mr. Deripaska’s companies. But to approve the measure, Democrats would need the support of several Republicans, which would require them to split with President Trump on the issue. The Democratic-controlled House would also have to pass it.