"At the request of the president and vice president and after consulting with our members, we will have the vote on the motion to proceed to the Obamacare repeal bill early next week," Senate Majority Leader Mitch McConnell said.
The vote is expected to fail, as three Senate Republicans have already declared their opposition to moving ahead with the controversial legislation.
Republicans hold a 52-48 majority in the chamber, and can only afford to lose two of the party's senators on the vote. Democrats are united against the measure.
Several Republican moderates have expressed concern that the measure would adversely impact millions of families, particularly people on Medicaid -- the federal health insurance program for poorer Americans -- and the disabled.
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McConnell instead will forge ahead with what could be a last-gasp vote next week on a new plan to kill off most of the 2010 reforms of Trump's predecessor -- without a replacement at the ready.
The measure contains a two-year delay, designed to provide lawmakers with sufficient time to craft an Obamacare replacement plan.
The nonpartisan Congressional Budget Office warned at the time that repealing Obamacare would boot a staggering 32 million people off health care by 2026, compared to current law.
That is far higher than the 22 million the CBO forecast would lose coverage under the latest repeal-and-replace legislation.