Rubio plans to offer a bill he says would prevent a United Nations takeover.
Central European countries are seeking more energy exports to curb Putin's power.
The all-night event to highlight climate change impacts is expected to draw 28 Senate Dems.
Sen. Marco Rubio (R-Fla.) is pushing for the expansion of U.S. crude oil exports.
Senate Democrats are pulling an all-nighter on the chamber floor Monday.
Senate Democrats want lawmakers to agree that climate change is a scientific fact.
Oscar winner Jared Leto is among those urging State to reject the pipeline.
Environmental activists will march 1 million comments to State Dept. on Friday.
There has been little recent movement in support or opposition to the pipeline.
Legislation that would deal a significant blow to an Obama administration carbon emissions rule passed the House on Thursday.