Legislative budget negotiators agreed late Monday to a $20.8 billion budget for the upcoming year that plows more than $300 million extra into schools and gives some Senate staffers bigger pay raises than most other state employees and teachers.

The agreement, signed by House and Senate budget conferees, will be on the chamber floors Tuesday for final approval. Passage of the budget is a major step toward ending the 2014 session on schedule Thursday.

Details of the deal were not immediately made public, but negotiators confirmed the budget for fiscal 2015 — which begins July 1 — includes the more than $300 million extra that Gov. Nathan Deal had proposed sending schools to eliminate furlough days for teachers, increase the number of school days and give raises. It also would provide 1 percent extra to agencies to allow for merit raises for state employees.

The House went along with a Senate proposal to give extra money to the Senate Budget Office and Lt. Gov. Casey Cagle’s office to give larger pay raises to their employees.

The Atlanta Journal-Constitution reported earlier this month that, based on 2013 payroll figures, the money approved for raises by the Senate would equal a 4.2 percent increase for the lieutenant governor’s office and 6.3 percent for the Senate Budget Office. House members traditionally do not make changes to the budget proposed by the Senate for its own chamber. Cagle is president of the Senate.

The budget plan backed by negotiators would also include more than $800 million in state borrowing for construction projects, including new college buildings and money for deepening the harbor in Savannah.