Obama has said before that he’s open to improving the law and would negotiate on anything when it comes to a bigger deal, or a so-called "grand bargain." However, his remarks, as part of a wide-ranging interview with the Associated Press, come amid increasing pressure to make changes to the Affordable Healthcare Act.
A small-but-powerful group of conservative House Republicans forced the chamber's leadership to make changes to ObamaCare part of negotiations on a temporary spending bill. And the failed negotiations resulted in a partial government shutdown that began Tuesday.
In addition, open enrollment for ObamaCare, which began the same day, was marred by widespread computer problems for Americans trying to buy insurance on government-run websites.
Obama told the wire service there's a majority of lawmakers in the Republican-led House who would vote to end the partial government shutdown and raise the credit limit without conditions.
In the wide-ranging interview, the president also said he doesn't expect Congress to breach the deadline to increase the nation's borrowing limit, with that debate coming later this month.
The government is expected to hits its $16.7 trillion debt ceiling in mid-October.
Failure to raise that limit could lead to a first-ever default. Republicans want cuts in federal benefit programs and future deficits in exchange for their votes.
Obama also said U.S. intelligence assessments show Iran is still "a year or more away" from building a nuclear weapon, during the interview conducted Friday and released Saturday.