The Obama administration is mulling an extra sign-up period for tax filers who owe penalties for not carrying insurance in 2014, according to a Bloomberg report released on Friday.
The new period will give them an opportunity to avoid paying harsher fines in 2015, the report said.
"You're going to hear from us, one way or another, within the next two weeks on whether that's something that we would do," Health and Human Services Secretary Sylvia Mathews Burwell told Bloomberg. "It's an issue that's been raised."
The penalty for failing to have insurance in 2014 is the higher of $95 per person or one percent of taxable household income, but in 2015 it will be the higher of $325 or 2 percent of income.
As many as 6 million people are estimated to be subject to tax fines for failing to have health insurance last year, a top federal tax official said told CNBC.
—CNBC's Dan Mangan contributed to this report.