Senate Majority Leader Mitch McConnellMitch McConnellFive things to watch in round 2 of Trump confirmation fights This week: Confirmation fights dominate ahead of inauguration Juan Williams: Race, Obama and Trump MORE (R-Ky.) has announced the Senate will begin voting to approve the Keystone XL oil pipeline on Monday.

“It is my hope that Chairman [Lisa] Murkowski [R-Alaska] and Sen. [Maria] Cantwell [D-Wash.] can begin the amendment process under regular order,” he told colleagues from the floor.

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The Senate must first vote to end a Democratic filibuster on the motion to begin consideration of the pipeline project.

“Unfortunately, some of our colleagues on the other side of the aisle continue to block our effort to even get on the bill, and therefore the cloture vote on Monday is required,” McConnell said.

In the last Congress, Senate Democratic Leader Harry ReidHarry ReidRyan says Trump, GOP 'in complete sync' on ObamaCare Congress has a mandate to repeal ObamaCare Keith Ellison picks ex-DNC Latino as press secretary MORE (Nev.) would retaliate against Republican filibusters by denying colleagues the chance to offer amendments through a procedure known as “filling the tree.”

McConnell has pledged to give Republicans and Democrats alike a free hand to offer amendments to Keystone, which could stretch the floor debate until late January.