Senate Majority Leader Harry Reid said Tuesday he is open to making legislative changes to the health care law, but they are likely to be minor.

After meeting with fellow Senate Democrats privately on Tuesday, the Nevada Democrat made a point of highlighting small changes to the health care law that the upper chamber has made and suggested he will take up measures that further tweak the law.

“Anything we can do to let people know that we’re not deaf to issues that may come up,” Reid said. “This is a big bill. And if we had working partners, as we used to have, with Republicans, there are other things we could do to work on this bill.”

Reid’s new willingness to make change to Obamacare came as the White House announced it had met the goal of enrolling 7 million people by the March 31 deadline.

“The Affordable Care Act, whether my Republican friends want to admit it or not, is working,” Reid said.

But Reid acknowledged the need to make changes.

The Senate tucked a provision inside Medicare payment legislation that repealed Obamacare’s cap on deductibles for small group health plans.

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