Story highlights Oprah Winfrey is "intrigued by the idea" of a presidential run, a friend said

President Donald Trump weighed in on Tuesday

Washington (CNN) President Donald Trump said Tuesday he would beat Oprah Winfrey in a potential 2020 presidential match-up, though he doesn't think she will end up running.

"Yeah, I'll beat Oprah," he told reporters in the the Cabinet Room during a meeting on immigration with members of Congress.

Winfrey is "intrigued by the idea" of a presidential bid, best friend and CBS "This Morning" co-anchor Gayle King said Tuesday, and is taking the idea seriously, per friends of the former talk show host. Her speech on the #MeToo movement at Sunday's Golden Globes propelled Winfrey to the forefront of political conversation on Monday, with the potential to disrupt the Democratic primary process and pose a strong challenge to Trump in 2020.

"Oprah will be a lot of fun," Trump said Tuesday, noting that he knows Winfrey "very well" and appeared with his family on one of the final episodes of "The Oprah Winfrey Show."

"I did one of her last shows. She had Donald Trump -- this is before politics -- her last week and she had Donald Trump and my family, it was very nice," the President said.

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