To win Senate approval, the House resolution needs four Republican votes along with those of all its Democrats.
Four other Republican senators have publicly expressed reservations about the emergency declaration, anxious that a Democratic president could someday point to Trump's action to justify declarations of their own on matters the GOP opposes.
The setback made it all but certain that defections from his own party will force Trump to cast what could be his first veto - on a struggle directly related to his signature issue of building barricades along the southwest border.
But during the GOP lunch, Trump called Lee, chief sponsor of the bill limiting future emergency declarations, and told him he opposed that proposal. Susan Collins of Maine, Lisa Murkowski of Alaska and Rand Paul of Kentucky.
Rep. Brad Sherman (D-CA) said, "One could imagine a President who committed a felony and the House simply decided, for the good of the country, it wasn't an important felony, it was just a mistake, it's something we can deal with after a presidential term". Although he said Trump has the power for his current declaration, McConnell said Republican senators were now questioning: "Was it too broad back in the '70s when it was passed?" On Tuesday, Vice President Mike Pence met with Senator Thom Tillis of North Carolina - who has said he will vote for the measure - and four other moderate Republican senators to discuss future legislation that could limit the White House's ability to declare emergencies in the future.
Trump declared an emergency last month to divert $3.6 billion from military construction projects to build border barriers after Congress voted to provide him with less than $1.4 billion for barrier construction.
"I think the speaker is absolutely right", he said.
"Republican Senators are overthinking tomorrow's vote on National Emergency".
"Impeachment is so divisive to the country that unless there's something so compelling and overwhelming and bipartisan, I don't think we should go down that path, because it divides the country" she said.
A vote on Lee's plan was expected after Congress returns from a recess later this month.
"It will be, I think, all very successful, regardless of how it all works out", Trump said.
The White House is privately negotiating with Senate Republicans who want to rein in the emergency powers of President Trump and his successors - which could lead to the surprise defeat of a Democratic resolution rejecting Trump's emergency declaration at the border.
If passed into law, Lee's bill could impact Trump's national border emergency in the future, since ongoing national emergency declarations must be reaffirmed annually. Mike Lee (R-Utah) that would amend the National Emergencies Act to say an emergency declaration would automatically expire after 30 days unless both chambers of Congress affirmatively vote to keep it. "Let's tell the president he cannot use his overreaching power to declare an emergency when he couldn't get Congress to do what he wanted".
The strongest chance of blocking Trump's border emergency is likely several lawsuits filed by Democratic state attorneys general, environmental groups and others.