The people spoke on condition of anonymity in order to discuss internal deliberations, and they caution that no final decision has been made.
Sanders has previously stated that the administration has been seeking inputs from several people, which is part of their plan to expand the communications operations.
The shakeup would cap off Spicer's tumultuous six-month tenure at the White House podium, which made him not only one of the administration's most prominent personalities, but also the face of the White House's unfocused messaging strategy. She declined further comment on the potential changes. No response from Spicer yet, but Politico reports that he may be looking for his own replacement behind the White House podium.
But Trump has also been intrigued in the past by the possibility of hiring conservative talk radio host Laura Ingraham as his press secretary.
When asked about the press secretary's absence, the Principal Deputy revealed Spicer's schedule has been hectic since Dubke left his post.
David Martosko, the USA political editor of London's Daily Mail, who covered the president's campaign, has also interviewed for senior communications jobs, according to a person familiar with the interviews who spoke on condition of anonymity to discuss the private deliberations.
Finsbury Park attack: Man dies as van hits worshipers
Police confirmed one person has been arrested, with United Kingdom media reporting he was the driver of the van. The van reportedly came down the street, mounted the curb and drove into the crowd, according to the BBC .
Donald Trump was first reported to be mulling for a #White House shake-up in April, and since then, we have seen a few reshuffles, which included the departure of some staff members and the addition of new ones. Spicer's public role has already diminished in recent weeks.
"The White House press secretary is getting to a point, Brooke, where he's just kind of useless", Acosta said.
It may soon be time to say goodbye to Sean Spicer-led press briefings, according to a new report from Politico.
"That's the White House behind me". Trump slammed CNN and Acosta at a February press conference as "fake news". Trump boasted that the Spicer show got incredible ratings, and NBC's "Saturday Night Live" parodied it week after week.
Mr Spicer was attempting to condemn Syrian President Bashar al-Assad for using chemical weapons, and tried to clarify that he understood Hitler had brought Jews "into the Holocaust centres".