US congressman Ro Khanna wrote to the King on Monday to call for him to meet survivors privately during the state visit, which will take place in late April.
It is understood that the couple will not be able to meet survivors while there are ongoing UK police investigations into matters related to Epstein.
Andrew Mountbatten-Windsor, the former Duke of York, and Lord Peter Mandelson, the former UK ambassador to the US, were arrested in February on suspicion of misconduct in public office over their connections with the pedophile financier.
They have since been released under investigation.
The National Police Chiefs' Council (NPCC) announced on Tuesday that the police response to the release of the so-called Epstein files by the US Department of Justice is to be "stepped up".
A dedicated group will look at the "scale, scope and nature of any potential UK-based VAWG (violence against women and girls) offending within the files", the NPCC added.
It has also invited alleged victims of Epstein who have spoken to UK media to talk to investigators about potential crimes that may have taken place on British soil.
Charles and the Camilla's long-expected historic trip is scheduled to take place in late April – despite calls for it to be postponed or even cancelled because of the ongoing conflict in the Middle East.
US president Donald Trump declared the trip will be a "momentous occasion" in a post on his Truth Social site, adding that there would be "a beautiful Banquet Dinner" at the White House on April 28.
He also revealed the "historic state visit" will take place over four days from April 27-30, despite Buckingham Palace deciding not to release the exact dates in its own official announcement.
"I look forward to spending time with the King, whom I greatly respect. It will be TERRIFIC!," Trump said.
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