• Trump is pushing Ramaswamy to fill JD Vance's former Senate seat in Ohio, a source familiar with the matter told BI.
• Vance resigned the seat on Friday as he gets ready to become vice president.
• Ramaswamy is the co-head of DOGE and it's unclear what would happen to his role if he joins the Senate.

President-elect Donald Trump is pushing Vivek Ramaswamy to fill the empty Senate seat in Ohio if the governor offers it to him, a source familiar with the matter told Business Insider.

The seat belonged to Vice President-elect JD Vance, who resigned it on Friday as he prepares to begin his duties at the White House. Ohio Gov. Mike DeWine will select someone to fill the seat for two years, before a special election in November of 2026.

"Neither Governor DeWine nor our office has commented on any possible candidates for the pending appointment," DeWine's press secretary Dan Tierney said in a statement to Business Insider.

DeWine has previously said he's not interested in a placeholder. He wants someone who can win a primary and general election next year and then do it all again in 2028 to win a full term.

Ramaswamy is set to co-lead the Department of Government Efficiency alongside Elon Musk. Should Ramaswamy be offered and accept the seat, it's unclear what would become of his responsibilities at DOGE.

The Washington Post reported the news earlier on Wednesday. Representatives for Trump did not immediately respond to BI's request for comment.