Senate Republicans are pressuring Majority Leader Mitch McConnell to drop tax cuts included in the GOP plan to partially repeal and replace Obamacare.
The lawmakers include Sen. Bob Corker of Tennessee, who says he opposes the cuts in their current form because they come at the expense of low-income individuals, who would be provided less federal money to buy health insurance than under Obamacare.
McConnell is said to be considering a change to the tax cuts.
"It's very important to me in the initial draft bill if you looked at lower-income citizens … they were going backwards," Corker told reporters after a meeting with Republican leaders in McConnell's office Wednesday. "And at the same time the 3.8 percent tax on the wealthy was being done away with."
Corker said he and fellow lawmakers are not comfortable with the idea of cutting taxes for the wealthy while leaving some without the money to buy healthcare.
"That is not an equilibrium that is appropriate," Corker said. "It's important to me we look at that in a different way, and my sense is the leader's office is really trying to accommodate the many issues like this that have arisen."
Republicans have been hammered by Democrats on the tax cuts.
According to a Tax Policy Center analysis, about 45 percent of the tax cut savings would go to the very rich.
"Republicans want to give a tax break to the wealthiest Americans," Senate Minority Leader Chuck Schumer, D-N.Y., said last week.
Republican Sen. Mike Rounds, of South Dakota, also wants to keep the tax in place to provide more money for low-income individuals to buy health insurance, he told the Washington Examiner.
Rounds said that he suggested his idea during a closed-door luncheon of the GOP conference Monday. He added that leadership has committed to getting his idea scored.
"I know there are other members who expressed the same," Corker said. "My sense is, it's likely to be addressed."
The leadership "understands the important of equity for lower-income citizens."
McConnell, R-Ky., met all day with Republicans who have not committed to voting for the Republican plan. Changes are expected, perhaps as soon as this week, with the goal of voting on a measure after the Senate returns from a weeklong recess on July 10.