Cohen also plans to tell U.S. lawmakers that Trump asked him several times about a proposed skyscraper project in Moscow long after he secured the Republican presidential nomination, according to reports.
Cohen is also set to be questioned by the Senate and House intelligence committees on Tuesday and Thursday, but those sessions will take place behind closed doors.
As he entered a hearing room on Capitol Hill Tuesday, Cohen did not answer questions from reporters about why he should be trusted.
The "have fun in prison" video, which features clips of Donald Trump's former "fixer" stumping for him on the campaign trail, is part of the media blitz the party has planned for Wednesday.
Cohen pleaded guilty past year to criminal charges including tax evasion, bank fraud and campaign finance violations.
He paid off porn star Stormy Daniels and Playmate Karen McDougal shortly before the 2016 election.
From Hanoi, White House spokeswoman Sarah Sanders dismissed Cohen's credibility.
Cohen's lawyer Lanny Davis recently told ABC News that his client would detail "personal, front-line experiences" of incidents and conduct by Trump that even hardened listeners would find "chilling".
According to an archived version of his bio from the website of his old firm Phillips Nizer, Cohen had only been licensed in NY, meaning he is now unable to practice anywhere.
Michael Monico, a lawyer for Cohen, did not immediately respond to a request for comment.
Florida Republican Representative Matt Gaetz alleged that former Donald Trump lawyer Michael Cohen had secret girlfriends that the congressman threatened to reveal ahead of Cohen's scheduled public testimony before the House Oversight Committee. Russian Federation denies USA intelligence agencies' assertions that it interfered in the election.
According to a memo released by the House Oversight Committee, Cohen is also expected to discuss Trump's finances and any possible conflicts of interests involving his family-run business, like the Trump Foundation and the Trump International Hotel.
He plans to tell lawmakers Trump asked him about it 'several times.' ADVERTISING He further plans to talk about Trump's 'lies, racism and cheating as a private businessman, ' according to the account.
Dean, who blew the whistle on White House misdeeds to the Senate Watergate Committee and served time in prison, wrote a best-selling memoir called "Blind Ambition".
"But no prosecutor would put Michael Cohen on the stand", Napolitano continued.
Burr said committee members know a lot more than they did when they first interviewed Cohen, who later pleaded guilty to lying to the committees about abandoning a proposal for a Trump Tower in Moscow in January 2016.