Ohio Rev. Code § 3.03
When a vacancy in an office filled by appointment of the governor, with the advice and consent of the senate, occurs by expiration of term or otherwise during a regular session of the senate, the governor shall appoint a person to fill such vacancy and forthwith report such appointment to the senate. If such vacancy occurs when the senate is not in session, and no appointment has been made and confirmed in anticipation of such vacancy, the governor shall fill the vacancy and report the appointment to the next regular session of the senate, and, if the senate advises and consents thereto, such appointee shall hold the office for the full term, otherwise a new appointment shall be made. A person appointed by the governor when the senate is not in session or on or after the convening of the first regular session and more than ten days before the adjournment sine die of the second regular session to fill an office for which a fixed term expires or a vacancy otherwise occurs is considered qualified to fill such office until the senate before the adjournment sine die of its second regular session acts or fails to act upon such appointment pursuant to section 21 of Article III, Ohio Constitution.
R.C. § 3.03