Former US President Donald Trump warned fellow Republican Florida Governor Ron DeSantis against making a bid for the White House in the upcoming 2024 presidential elections.

"I don't know if he is running. I think if he runs, he could hurt himself very badly. I really believe he could hurt himself badly," Trump said during an interview with Fox News following a rally in Ohio.

Trump underlined that would be making a "mistake" by running, saying that the "base" would not like his bid. "I don't think it would be good for the party."

"Any of that stuff is not good. You have other people that possibly will run, I guess," Trump stressed. "I don't know if he runs. If he runs, he runs."

If Trump were to face off against the Florida governor in the Republican primary ahead of the 2024 presidential elections, the former President suggested that he would use unflattering information about his GOP opponent in a bid to undermine the prospect of his reelection.

Despite the staunch enmity when it comes to the White House bid, Trump announced earlier on Tuesday that he cast his ballot in favor of DeSantis in the state's race for governor.

When asked "Did you vote for Gov. DeSantis?" by a reporter on Tuesday, Trump responded, "Yes I did," as he left a polling place in Palm Beach, Florida, with former first lady Melania Trump.

On Monday, Trump was on the verge of announcing his decision to run for president again at a campaign rally in Dayton, Ohio.

Trump raised the stakes even higher by promising something huge from his Florida home next week.

"I'm going to be making a very big announcement on Tuesday, November 15, at Mar-a-Lago in Palm Beach Florida. We want nothing to detract from the importance of tomorrow," he added.

Just two days ago, Trump openly mocked DeSantis during a rally held in Pennsylvania, calling the governor "Ron DeSanctimonious."

The following day, he told supporters in Miami to vote for DeSantis. 

"No matter who you vote for, you have to vote," Trump told reporters on Tuesday.

DeSantis, final polls showed, has already won, being re-elected as Florida's governor.