Harris, 54, last week officially launched her campaign for the US presidential election in 2020 to take on President Donald Trump. If elected, she would be the first woman and woman of colour to be the president of the United States.
The White House on Monday restored the press credentials of CNN's chief White House correspondent Acosta, less than two weeks after withdrawing them over a testy exchange with President Trump during a news conference on November 7.
The announcement comes a day after CNN announced that it was filing a lawsuit to restore the press pass of journalist Acosta, who was restricted from covering the White House after a heated exchange with Donald Trump during a press conference.
"The president, and especially the White House press secretary, should understand their words matter," said Jeff Zucker, president of CNN Worldwide. "Thus far, they have shown no comprehension of that."
Trump has been advised that his words against the media have an impact, but "he doesn't seem to care," said Maggie Haberman, who covered Trump as a New York real estate baron and now in the White House.