Republican Rep. Randy Weber of Texas tweeted Thursday morning that a CNN reporter he called "disrespectful" to President-elect Donald Trump during a press conference Wednesday "should be fired."

"The CNN reporter who was disruptive to the press briefing, & disrespectful to Trump-should be fired & prohibited from any press briefings," Weber wrote.

Trump on Wednesday blasted a CNN report that said intelligence officials provided briefing materials informing him of the existence of a dossier containing unverified Russian claims of having compromising information about Trump.

CNN reporter Jim Acosta repeatedly pressed Trump to let him ask a question during the Wednesday press conference amid the president-elect's denunciations of CNN.

"Since you're attacking our news organization, could you give us a question?" Acosta shouted.

Trump refused, responding that "your organization is terrible" and telling Acosta to stop being "rude."

Acosta continued to pressure Trump, who refused and called CNN "fake news."

Here's the exchange where CNN's Jim @Acosta tries to ask Trump a question and the President-elect refuses pic.twitter.com/LlwmhPj5w3 — Bradd Jaffy (@BraddJaffy) January 11, 2017

Sean Spicer, the incoming White House press secretary, tweeted on Wednesday that Acosta's behavior, "regardless of party," was "rude, inappropriate and disrespectful."

"He owes @ realDonaldTrump and his colleagues an apology," Spicer added.

Acosta replied that Spicer "threatened to throw me out of that news conference if I asked another question."

Trump claimed during the press conference that CNN "went out of their way to build up" the dossier, which BuzzFeed published in full on Tuesday. Trump also called BuzzFeed "a failing pile of garbage" and said the organization would "suffer the consequences" for publishing the document.

CNN did not publish the full memo as BuzzFeed did. It released a statement standing by its "decision to publish carefully sourced reporting about the operations of our government," which it said was "vastly different than BuzzFeed's decision to publish unsubstantiated memos."

Fox News anchor Shep Smith defended CNN on Wednesday, saying its "correspondents followed journalistic standards and that neither they nor any other journalists should be subjected to belittling and delegitimizing by the president-elect of the United States."