Among the other names being floated is Jane Timken, the former state Republican party chair and current Republican National Committee member. Timken ran for the Senate in 2022, losing in a crowded primary to Vance, but remains well-liked by most within the party and, more importantly, is a good fundraiser.

Trump tapped Vance as his running mate in July, prompting him to depart from the Senate to serve as vice president following the election. Here's how the process works.

With a role in the Trump administration's Department of Governmental Efficiency, the former presidential candidate said he wouldn't consider a different role.