It comes as the former US president lauded the Supreme Court's reversal of his disqualification from Colorado's ballot.
Trump claims he had immunity for all actions undertaken while president.
A Trump campaign spokesperson called the ruling "unconstitutional".
"We are turning into a communist country," the former President claimed at a Fox News town hall.
His claim he is immune from being charged for overturning the 2020 election has been rejected by lower courts.
Carroll is demanding millions in damages from Trump for denying he raped her.
He's either one of the most committed liars we've ever seen or his views are delusional, writes Dean Obeidallah for CNN.
Election officials are anticipating outside groups will file lawsuits on the matter and are studying what it means.
The former US President faces 37 charges.