Three members of the White House coronavirus task force are self-isolating for two weeks after possible exposure to the illness.
Dr Anthony Fauci, who has become the public face of the fight against the virus in the US, is one of those who will go into quarantine.
His agency, the National Institute of Allergy and Infectious Diseases, said he was at "relatively low risk" due to the degree of his exposure.
Dr Fauci has tested negative.
The 79-year-old will work from home for the time being and will be regularly tested, the institute said.
Vice President Mike Pence's press secretary Katie Miller, the wife of Trump aide Stephen Miller, tested positive for the virus on Friday.
Her diagnosis came after a valet for US President Donald Trump was also confirmed to have the illness.
Who is self-isolating?
Centers for Disease Control and Prevention (CDC) director Dr Robert Redfield and Food and Drug Administration (FDA) commissioner Stephen Hahn are also self-isolating.
In a statement, the CDC said Dr Redfield, 68, had no symptoms and was not feeling unwell, but would also be teleworking for two weeks after "low risk exposure" to someone at the White House. It is unclear who this person is.
And an FDA spokesman told Reuters news agency on Friday that 60-year-old Stephen Hahn was also self-isolating. He has also tested negative, the spokesman said.
Dr Robert Redfield and Stephen Hahn are also both self-isolating for two weeks. The three men were due to address a Senate committee on Tuesday.
Before the news about Dr Fauci became public, committee chairman Senator Lamar Alexander said Dr Redfield and Dr Hahn would be allowed to testify by videolink.
Former US President Barack Obama has sharply criticised his successor's response to the crisis. During a private phone call to former staffers, Mr Obama called the response "an absolute chaotic disaster".
Last week Mr Trump said he would refocus the White House task force on kickstarting the US economy, a day after suggesting he would disband it.