Despite the US President Donald Trump's efforts to again classify the fallout from Jeffrey Epstein as a hoax perpetuated by the Democratic Party, the controversy continued to gain momentum on Sunday.

Republican US Representative Thomas Massie, who has consistently gone against the grain of his own party to push for the release of investigative files related to Epstein, said it is looking increasingly likely the US House of Representatives will hold a vote on whether to do so.

"Dogs don't bark at parked cars," he said during an interview on ABC's This Week, referring to White House's opposition to the release of investigative files and emails.

An art installation depicting Donald Trump and Jeffrey Epstein in Washington in October. AP

"We're forcing this vote and it's going to happen," he said. "We're winning ... and they [the White House] are taking a big loss this week."

Back in September, the Republican-led US House of Representatives committee released more than 33,000 pages of files related to Epstein, but the move, which was originally designed to quieten down the controversy did the opposite, causing even more anger, as well as interest in why all the files were not released.

Regardless of a forthcoming US House vote to release all the files, it is currently unlikely that the US Senate will also vote on the matter.

The release of all the files related to the criminal activity of Epstein could add to an already intense chorus of criticism faced by politicians, entrepreneurs, philanthropists and even scientists who have appeared in email conversations with him. The financier, socialite and former teacher died in prison awaiting trial in 2019 for sex-trafficking activities and other charges.

President Trump's alleged familiarity with Epstein became the focus of renewed criticism earlier in the week when Democrats released emails in which the disgraced financier wrote that Mr Trump had “spent hours" his house. Epstein also referenced one of his alleged victims, and implied that President Trump “knew about the girls”.

Jeffrey Epstein in custody in 2017. AP

His death fuelled conspiracy theories, particularly among the Maga movement, that Epstein was murdered to protect the wealthy and powerful friends implicated in his crimes.

Georgia Representative Marjorie Taylor Greene, who is considered by many to be on the far right of the party and who has been one of President Trump's staunchest supporters, continued on