The Illinois Senate overrode Governor Bruce Rauner’s partial veto that would have cut millions of dollars for Chicago’s  cash-strapped school district, bringing the state closer to ending an impasse that has prevented aid from flowing to elementary and high schools.

Rauner, a Republican, had issued an amendatory veto of a bill that overhauled Illinois school funding practices, deriding the measure as a “pension bailout” for Chicago. Until a funding bill is enacted, general state aid to all schools can’t be released. Normally these funds would first go out on Aug. 10. Last week was the first time since the comptroller’s office was created in the 1970s that the state didn’t send the money on time.

The time has come to reform school funding in the state of Illinois, Senator Andy Manar, a Democrat and sponsor of the bill, said on the Senate floor on Sunday.

The amendatory veto meant Chicago’s schools would receive about $463 million less than the original measure, according to analysis by the state board of education released on Saturday from Rauner’s office. Chicago’s district would receive another $221 million in aid for pension costs under a measure that hasn’t been approved, according to the document from the governor’s office.

The amendatory veto must still be overturned by the House of Representatives before the measure can become law and funds can be released to schools. The House is next scheduled to be in session on Wednesday.