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

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.”

Show' host, who started his Monday broadcast addressing his ‘Late Show’ counterpart’s cancellation, also posted on social media last week about the news.