The Florida governor, who ran against Donald Trump in the race to be the Republican presidential candidate, has released a video in which he backs the ex-Business Secretary.
In it, he says: “She has a commitment to conservative principles, she’s strong, she’s courageous, and she will be an inspiration for conservatives across the world.â€
Betting sites currently favour Robert Jenrick over both Mr Cleverly and Ms Badenoch.
And fourth option Tom Tugendhat is widely expected to be knocked out this week.