This post has been updated. 

Sen. Ted Cruz's health-care situation continues to be complicated.

Last year, Cruz admitted that he might have to sign up for Obamacare -- a law he wants to repeal -- after his wife took a leave of absence from her job while he runs for president. He then purchased his health care on the open market, not through an online exchange through the law that offers a subsidy.

Cruz told an audience Thursday the coverage didn't last long.

"You know who one of those millions of Americans is who has lost their health care because of Obamacare? That would be me,” Cruz said in Manchester, N.H. "I don’t have health care right now." Cruz said he got a notice in the mail saying that his plan was canceled.

But, it turns, out Cruz and his family actually are covered by health insurance.

Catherine Frazier, a spokeswoman for the Republican presidential candidate, said Blue Cross and Blue Shield of Texas canceled Cruz's family policy Dec. 31, a plan she said the family purchased on the individual market through a private broker without government funds. Frazier said the broker told Cruz the plan was going to be canceled.

"The broker did not inform him that Blue Cross had automatically enrolled the family in another policy, an HMO with far more limited coverage," Frazier said. "Based on this information, Sen. Cruz believed the family was uninsured and asked the broker to pull quotes immediately for a new policy."

According to its website, Blue Cross and Blue Shield of Texas ended its preferred-provider organization plans starting in 2016, but still offers health maintenance organization plans. The information was posted on the company's website on July 23. It said options would be presented on Oct. 1 and could be chosen during open enrollment, which started Nov. 1 and runs through Jan. 31.

Frazier said Cruz's family is currently covered by the HMO and and, come March 1, will switch to a Humana PPO and that the premium will be 50 percent higher.

Cruz told the audience Thursday that the family was looking for a new policy.

"We are in the process of finding another policy," Cruz said, adding that his wife is "ticked" that they don't have insurance.