The sources stressed that the plan could change.
The outgoing president, who had already announced he would not attend the swearing-in, will fly to his Mar-a-Lago club in Florida, where he intends to stay.
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The timing for the trial, the first of a president no longer in office, has not yet been set.
The Senate is scheduled to return to Washington on Tuesday, the day before Mr Biden's inauguration.
Vice President Mike Pence will attend the inauguration in the President's place. He says his own team is working closely with law enforcement.
Canada secures 20 million more doses of Pfizer vaccine
More than 2.7 million doses are expected to be distributed across the country over the next seven weeks, with distribution ramping up in February.
Trump has been trying to head off a conviction in the Senate on articles of impeachment that are based on the January 6 storming of the US Capitol by his supporters.
Ten Republicans joined Democrats in supporting impeachment, while others argued Mr Trump's remarks were protected by the First Amendment of the US Constitution, which defends free speech.
The agency, which includes air marshals, also plans to boost security at airports around the country.
Following the violence, the US House of Representatives on Wednesday impeached Trump for "inciting" last week's deadly violence at Capitol Hill, making him the first US President to be impeached twice.
The Morro Bay City Council voted unanimously at a special meeting Thursday to send a letter to federal offices and other elected officials supporting the impeachment of President Donald Trump and his removal from office.
Mr Trump, the only president in United States history to be impeached twice, was planning to issue more pardons before leaving, according to sources who added that he had been considering the unprecedented option of pardoning himself.