The House-Senate conference committee working to finalize a tax bill will meet publicly Wednesday to work on the final version of the legislation, chairman Kevin Brady of Texas announced Friday, and GOP members are also expected to work through the weekend to reach an agreement.

"The House and the Senate are working together now on a unified, pro-growth tax reform bill that will deliver more jobs, fairer taxes, and bigger paychecks," Brady, the chairman of the House Ways and Means Committee in addition to the conference committee, said in a statement. "Our open meeting will be an opportunity for the conferees to discuss our best, most pro-growth tax reform ideas that will help improve the lives of all Americans."

The meeting is scheduled for 2 p.m.

Republicans have been working and will continue to work to resolve the differences between the two bills while maintaining support among their rank-and-file members in both chambers.

Asked Thursday how much of the negotiations have already been worked out by principals, Senate Finance Committee chairman Orrin Hatch of Utah responded: "A lot — the vast majority."

Speaking Friday on Bloomberg Television, White House National Economic Council director Gary Cohn said that Republicans will have "a pretty final tax bill" after the weekend.

"What they’re supposed to do is merge differences," Cohn said of the House and Senate conferees. "A lot of that is going to happen this weekend."