Former Republican presidential nominee Mitt Romney Willard (Mitt) Mitt RomneySenate Republicans face tough decision on replacing Ginsburg McConnell says Trump nominee to replace Ginsburg will get Senate vote GOP-led panel to hear from former official who said Burisma was not a factor in US policy MORE will announce his run for Senate in Utah on Thursday with a message to supporters on social media, sources told the Washington Examiner.

He will make his first appearance on Friday, speaking to grassroots Republicans near Salt Lake City, the news outlet added.

"Stay tuned for my announcement on the Utah Senate race this Thursday. Visit www.mittromney.com to be one of the first to know!" the former Massachusetts governor said in a Facebook post on Monday.

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Romney, 70, was an outspoken critic of President Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE during the 2016 GOP primary but since then the two figures have mended fences, with Romney briefly being considered for secretary of State before being passed over for Rex Tillerson Rex Wayne TillersonGary Cohn: 'I haven't made up my mind' on vote for president in November Kushner says 'Alice in Wonderland' describes Trump presidency: Woodward book Conspicuous by their absence from the Republican Convention MORE.

Utah's Senate seat, currently held by retiring Sen. Orrin Hatch Orrin Grant HatchBottom line Bottom line Senate GOP divided over whether they'd fill Supreme Court vacancy MORE (R), is not under threat by Democrats and Romney is largely considered the favorite.

Romney reportedly began informing GOP insiders of his intentions last month, and Hatch has frequently said that Romney is his personal choice for the seat.

"There's no question that he loves Utah and wants to support Utah any way he can. And I'm hopeful he'll run, because he would be just fine," Hatch said in January.

"And he would certainly be somebody who I think could succeed me into the job. We haven't spoken in the last few days, but if Mitt decides to run, he knows he'll have my support."

The move has also garnered support from other Senate Republicans, who are reportedly eyeing Romney to take over leadership of the National Republican Senatorial Committee (NRSC).

Romney congratulated Hatch on his long career in the Senate in a Facebook post last month.

"I join the people of Utah in thanking my friend, Senator Orrin Hatch for his more than forty years of service to our great state and nation," Romney wrote.

"As Chairman of the Senate Finance and Judiciary Committees and as the longest-serving Republican Senator in U.S. history, Senator Hatch has represented the interests of Utah with distinction and honor," he continued.