Kimmel, who has been engaged in a years-long feud with Trump, didn’t appear fazed by the president’s claim. “I’m hearing you're next,” he wrote on his Instagram Story. “Or maybe it’s just another wonderful secret.”

Trump went on to claim that 'an even less talented Jimmy Kimmel' will be 'next up' to lose his job, followed by 'a weak, and very insecure, Jimmy Fallon.'

A look at the hosts' network contracts suggests that one late-night show's future is less certain than the other