Murkowski said a number of the bill's features were "very attractive," noting that it would lower tax rates, double the child tax credit and double the standard deduction. She said it also included a provision she had written, to open the Arctic National Wildlife Refuge, or ANWR, to oil and gas drilling.

Murkowski said it was important to enact reforms separately to help stabilize the individual market in health insurance.

Steve Daines

The Montana Republican has concerns about the bill's treatment of "Main Street" businesses. He said on Wednesday he had secured an agreement to increase a 17.4 percent deduction for owners of pass-through businesses to 20 percent.

Ron Johnson

The senator from Wisconsin also has demanded more favorable treatment for "pass-through" businesses, which include sole proprietorships and partnerships, as a condition of his support.

Bob Corker

Corker, a deficit hawk from Tennessee, said on Tuesday he had the outlines of a deal adding a tax snap-back provision to the bill that would raise taxes automatically if economic growth targets are not hit in the future to offset a higher deficit.

Corker said that arrangement would satisfy his concerns that the tax cuts could add too much to the national debt. As of Wednesday evening, the details had not been announced. The snap-back proposal also became a target of growing criticism among conservative Republicans and lobbyists.

The tax bill was expected to add $1.4 trillion to the $20 trillion national debt over 10 years.