Republican John Kasich will announce his proposal for the 241-mile roadway and closing a $1.6 billion highway funding gap at a series of events beginning Thursday.
The governor has said he won't propose selling the roadway to private investors, and a lease is also considered unlikely.
Many county leaders along the northern Ohio road don't want a private company to take over, predicting higher tolls and lost jobs for turnpike workers.
Other states have refinanced turnpike bonds at lower rates or automated toll collection to save money.
The governor says getting more cash out of the turnpike could pay for construction projects around Ohio. Diverting toll revenue would require changes in state law.