President Barack Obama will be able to sign Wall Street reform legislation by the Fourth of July, Rep. Barney Frank (D-Mass.) said Thursday.

Frank, the chairman of the House Financial Services Committee, who authored the financial reform bill that passed through the House, said he had "cleared [his] calendar for the month of June" in anticipation of finishing up the bill.

"I want to move as quickly as possible," he said during an appearance on CNBC. "And I can say that the president, I am certain now, will have signed this bill well before the Fourth of July."

Frank said he had already begun conversations with House and Senate colleagues to lay the groundwork for a conference of the bills produced by each chamber, though he wouldn't tip his hand as to how the bill might change as a result of those negotiations.

The Massachusetts Democrat said he couldn't be sure of a bipartisan outcome in the end in favor of the bill, though.

"The House Republicans, frankly, have to my bewilderment refused to support any form of reform," Frank explained.

When it comes to the Senate, though, Frank said he had lobbied Sen. Scott Brown (R-Mass.) to vote for the bill. Brown did support cloture for the legislation on Thursday, one of three GOP senators to support ending debate on the legislation.