In an open-ended question probing Americans' reasons for approving or disapproving of the law, 11 percent of those who disapprove specifically mention losing their insurance. Another 7 percent say the president lied about details of the law, Gallup found.
Some Democratic members of Congress, as well as former president Bill Clinton, are urging Obama to support legislation that would rewrite portions of the law to allow Americans to keep their insurance plan if they are being dropped from it, as a way to honour his pledge.
Many members of Congress from both parties are asking the administration to extend the deadline by a year for Americans to get health insurance before facing a fine, given the ongoing technical issues with the exchange website which are still being fixed. The White House recently extended the deadline by six weeks.
Obama announced on Thursday from the White House that those dropped from their coverage can get their plans back until next year. But the question remains whether insurance companies will be able to take those customers back at this point.
Meanwhile, Obama's popularity has reached a low point of 41.7 percent, according to the Real Clear Politics average, which many experts attribute to the failing implementation of Obamacare.
Experts said if the website glitches are not repaired soon, Democrats may feel the sting in next year's midterm Congressional elections.
