President Rodney Erickson says the increase would amount to a $10.6 million increase to bring the appropriations level to $289.5 million.
Currently, state appropriations make up about 6 percent of Penn State's budget of roughly $4.3 billion, and that share has slowly declined in recent years.
Erickson told school trustees Friday the university would be able to keep the tuition increase next year to 3.3 percent if the Legislature approves its request.
Annual tuition varies by year and major. It currently ranges from more than $15,000 for in-state freshmen and sophomores to as much $32,000 for upperclassmen nursing majors.