Bataille also did not have data on what percentage of people who have enrolled were previously uninsured.
Obamacare critics have suggested that a significant number of enrollees are people who were previously insured by individual plans, many of which were cancelled or failed to comply with minimum standards set by the Affordable Care Act. If that's the case, it would suggest that the administration's goal of having the ACA get large numbers of uninsured health coverage was falling short.
However, the Gallup polling firm released data Wednesday showing that the percentage of uninsured Americans so far this year stood at 16 percent, the lowest rate in five years, and a 1.1 percent drop from the first quarter of 2013.
"If the uninsured rate continues to fall over the next several months, it may suggest that the Affordable Care Act's requirement for most Americans to have health insurance, which took effect on Jan. 1, is responsible for the decline," said a posting on Gallup's website detailing the data.
Other details included in HHS's report:
- 1.9 million people have enrolled so far in Obamacare plans sold via the federally run HealthCare.gov marketplace, whose botched launch in October dramatically crippled the first two months of enrollment. HealthCare.gov sells plans in 36 states.
-1.4 million people enrolled in plans sold by 15 other health exchanges run by the remaining states and the District of Columbia.
- 55 percent of enrollees are women, and 45 percent are men.
- 82 percent of enrollees are eligible for federal subsidies to offset the cost of their premiums, and, in some cases, to offset the cost of out-of-pocket medical expenses. That is a 3 percent increase in
- 62 percent of enrollees have selected a so-called "silver" plan, whose premiums are in the middle range of Obamacare exchange plan prices. Another 19 percent have selected less expensive "bronze" plans, whose premium prices reflects the fact that those plans tend to have higher out-of-pocket costs.
Sebelius's spokesoman Bataille on Wednesday firmly said, "No," when asked if HHS has considered extending open enrollment past the March 31 deadline, which is also the date by which most Americans must have some form of health insurance or face a tax penalty of up 1 percent of their income next year.
That question came two days after the Obama Administration yet again delayed the so-called employer mandate, which will require companies with 50 or more full-time workers to offer them affordable health insurance or pay a penalty of at least $2,000 per employee.
That deadline for employers was originally 2014, but was postponed last summer until 2015. On Monday, the administration delayed until 2016 the deadline for employers with 50 to 99 full-time workers. The deadline for larger employers remains 2015.
Republicans have criticized Obama for repeatedly extending or tweaking Obamacare deadlines without the approval of Congress, and in some cases claim he has broken the law by doing so. The administration claims each extension is legal and within the administrative or regulatory powers accorded it by law.
Even as they have criticized the president on such grounds, Republicans have also demanded that the individual mandate requiring people to obtain health insurance or pay a penalty also be suspended, as least for this year. The administration has rejected those calls.
(Read more: Disappearing doctor! Obamacare exchange yanks list )
—By CNBC's Dan Mangan. Follow him on Twitter