HARRISBURG — Gov. Tom Wolf’s office said today that it has gotten the support necessary to pass major tax legislation in the Republican-controlled House of Representatives in a crucial step toward ending a state government budget stalemate.

Wolf’s press secretary Jeff Sheridan said that the office was confident that tax legislation will pass the House and cap Wolf’s quest for a record increase in public school aid and money to close a long-term budget deficit.

The details of the deal have not been made public, but lawmakers briefed by the governor’s office said it revolved around an increase in the personal income tax, from 3.07 to 3.3 percent.

Sheridan spoke shortly after the Republican floor leader of the Pennsylvania House said that he planned a Saturday tax vote that is pitting House conservatives against Wolf, the Senate and Democratic lawmakers.

“We are confident that we have the votes to pass this,” Sheridan said. “We look forward to this impasse coming to an end so we can move Pennsylvania forward.”

Wolf’s office has not named names of House Republicans who are willing to cross their leadership. To pass, it will need 102 votes in the 203-member chamber. Top Democrats say that at least 73 out of 83 Democrats will support it, meaning close to 30 out of 119 Republican votes are necessary to pass it.

If it passes, a vote on the main spending bill could follow.

The income tax increase under consideration would be the first change in that tax rate since 2004.