The Senate voted 39-1 on May 22 on a $36.2 billion state budget for the fiscal year that begins July 1.
The measure includes $519 million for the five-campus UMass system that could pave the way for a second freeze on tuition and mandatory fees for in-state undergraduates.
Differences between the Senate and House spending plans must be resolved by a six-member conference committee before a final budget is approved by each chamber and sent to Gov. Deval Patrick.
The Board of Trustees is expected to finalize student charges at its June 18 meeting at the Dartmouth campus.