The video, titled "ObamaCare: It's a Tough Sell," features the voice of Verrilli on the second of the three-day hearing set to a picture of an ominous-looking Supreme Court building.
"For more than eighty percent of Americans the insurance system does provided effective access," says Verrilli in the video. You then hear the solicitor general say "excuse me," cough, and mumble his words.
At times the court’s four liberal justices gave a more vigorous defense of the law than the government’s lawyer.
The court on Tuesday was addressing the constitutionality of the healthcare law's individual mandate provision, a major component of the legislation.
The nine justices heard oral arguments Wednesday, as the hearings came to a close, on whether the rest of the law could stand on its own if the mandate is struck down.
Obama's deputy campaign manager, Stephanie Cutter, defended Verrilli and responded directly to the video Wednesday, calling it a "low blow."
"It should come as no surprise. They've been trying to undermine the president's healthcare law before it passed and have been trying to repeal it since it passed," said Cutter on MSNBC's "Andrea Mitchell Reports."
Cutter, who said she knows Verrilli personally, called the lead lawyer "one of the most talented attorneys in this country."
"He made a very forceful argument and we knew these arguments were going to be tough," she added.
To listen to the entire audio and read the transcript from Tuesday's Supreme Court oral arguments, click here.