White House Press Secretary Jay Carney fact-checked the information provided to reporters by Obamacare customer service representatives tasked with aiding people in enrolling in the health care exchanges.

"It's not true," Carney told CNN's Brianna Keilar during Thursday's press briefing. "It's not true that if you registered in the past that everybody has to re-register, but there are certainly issues with the website."

The fact-check came after Keilar told Carney that two separate Obamacare representatives told a CNN employee to create a new account after two weeks of struggling to enroll in the exchange.

Carney said that President Obama is "insistent" that the Obamacare website be fixed.