(CNN) CNN's Senior White House Correspondent Jim Acosta said Donald Trump's spokesman Sean Spicer threatened to expel him from Trump Tower if he attempted to ask another question after a contentious exchange with the president-elect during Wednesday's news conference.

"After I asked and ... demanded that we have a question, Sean Spicer, the incoming press secretary, did say to me that if I were to do that again I was going to be thrown out of this press conference," Acosta told CNN's Wolf Blitzer and Jake Tapper, speaking on "Inside Politics."

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Spicer's threat came after Acosta pressed Trump to take a follow-up question after the president-elect assailed CNN for publishing a report Tuesday night on classified documents presented to President Obama and Trump which included allegations that Russian operatives claimed to possess compromising personal and financial information about Trump.

"Mr. President -elect since you are attacking our news organization can you give us a chance," asked Acosta.

"Not you," interjected Trump."[Y]our organization is terrible ... I am not going to give you a question ... You are fake news."

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