House Democrats look to bring a campaign finance reform bill to the floor this week, likely on Thursday.

A House Democratic aide said that the House Rules Committee will meet on Wednesday with an eye toward bringing the Disclose Act to the floor on Thursday.

"Rules will meet tomorrow, the bill will likely be on the floor on Thursday, and leadership is confident we’ll have the votes," said the aide, citing "a lot of progress" in the last 24 hours.

Democrats are hoping to wrap up work this week on the Disclose Act, a piece of legislation meant to abate the impact of a Supreme Court decision freeing up corporate and labor spending in elections.

The legislation is backed by some Republicans and most Democrats, though reservations among centrist Democrats had forced House Speaker Nancy Pelosi (D-Calif.) to pull the bill from the floor last week before a scheduled vote on Friday.

The White House has weighed in on behalf of the legislation this week, and Senate Majority Leader Harry Reid (D-Nev.) wrote House Democrats to assure them that he would work to secure a vote in the Senate. Some Blue Dog Democrats had been afraid of a tough vote on the legislation, only to see it stall, like a number of other House priorities, in the Senate.

House leaders expressed optimism on Tuesday in the progress they've made.

“As with almost every major bill before the House we made some compromises to build support for the legislation, but I am confident we are advancing the strongest campaign finance reform bill in years—a bill that will increase transparency and disclosure of political spending, prevent foreign companies from influencing America’s elections and ensure that entities that receive taxpayer money can’t turn around and spend that money in elections," said House Majority Whip James Clyburn (D-S.C.).

"I know that Rep. Van Hollen is working hard so that we could consider the DISCLOSE Act on the House Floor this week," said House Majority Leader Steny Hoyer (D-Md.), making reference to his Maryland colleague Van Hollen, the assistant to the Speaker who's spearheaded the legislation.