It is noted that it is not yet known whether she agreed to this proposal.
According to the channel, Nauert met with Trump in the Oval Office on Monday, October 29th.
The publication of The Wall Street Journal, citing a highly top-rated source, also writes that it is expected that Nauert will take this post.
Nauert, a former Fox News journalist, received the position of State Department spokesperson in April 2017, and worked under both US Secretary of State Rex Tillerson and Mike Pompeo.
Earlier, Trump said that he would prefer to choose a woman as a candidate for the post of the new US Permanent Representative to the UN.
On October 9, it became known that Nikki Haley, who is currently the permanent representative of the United States to the United Nations, will resign at the end of the year.