On Saturday night, Sen. Ted Cruz (R-TX) and Sen. Mike Lee (R-UT) forced the Senate to vote on President Obama’s executive action on immigration, as a condition of approving the $1.1 trillion spending bill.

They argued that the spending bill violated the Constitution because it would fund Obama's amnesty plan, which Cruz, Lee and other Republicans have called illegal.

Lee told Bill Hemmer on "America's Newsroom" today that the vote was worth it even though they didn't win.

"It's always worth it when you stand behind the American people," Lee said. "When we have a president who engages in acts of lawlessness and behaves as if he were a government of one, it's always worth it to stand up for the American people and get a vote on whether or not the president should have taken that action."

Lee explained that his opposition to the underlying spending bill was that it was a 1,600-page document that was written behind closed doors, without going through any amendment process.

"We thought that we should have at least one vote on some amendment, on some option somewhere, to allow Senators to signal their opposition to what the president is doing," Lee said.

As for the GOP's plans when the Republican-led Congress takes over in 2015, Lee said that they will look to attach a spending limit to the Department of Homeland Security, which is in charge of implementing and enforcing immigration laws, in order to restrict funding for Obama's "unlawful" immigration reform.

Watch more above.