The tech billionaire Elon Musk said on Wednesday that he would possibly vote for Florida’s Republican governor, Ron DeSantis, if he were to run in the 2024 US presidential election.

The billionaire tech mogul’s expression of support for DeSantis, albeit vague, was among several tweets in which he discussed some of his political leanings after he recently declared himself a Republican.

Musk claimed to back the successful Republican congressional candidate Mayra Flores during a special election in Texas on Tuesday.

“I voted for Mayra Flores – first time I ever voted Republican. Massive red wave in 2022,” Musk said.

“I assume republican for president 2?” an account called Tesla Owners Silicon Valley asked.

Musk replied, “tbd,” prompting the follow-up: “What are you leaning towards?”

“DeSantis,” Musk said.

Musk’s seeming support of DeSantis comes as the high-profile Republican – who is both a staunch ally to Donald Trump as well as a potential rival – appears to be a strong contender in the party’s presidential primary.

The rising star has bested Trump in recent polls of Republican activists, as some conservative diehards seem to be tiring of the ex-president’s insistence that he won the 2020 election.

Trump’s “big lie” claim has repeatedly been proven wrong. Joe Biden won the presidency and there is no evidence that he did so unlawfully.

DeSantis has been ramping up his efforts to position himself as a true conservative. He has signed into law legislation that strips Black voters’ power through gerrymandering congressional districts to benefit Republicans, for example. DeSantis also curtailed the discussion of race and diversity in schools and businesses. He has also signed off on bills that ban discussion of gender identity and sexual orientation in some Florida classrooms with his “Don’t Say Gay” legislation.

His attack on what he called “wokeism” has come to include bans on math textbooks that supposedly include “prohibited” subjects, such as critical race theory. He has also tried banning medical care for transgender youths and engaged in a sparring match with Disney.

Disney publicly opposed DeSantis’s attack on LBGTQ+ rights. DeSantis’s dogged rhetoric on social issues has built a strong brand, with political science professor Michael Binder previously telling the Guardian: “He’s nicknamed Governor Grievance.”