Kimmel, who hosts "Jimmy Kimmel Live" on ABC, and Fallon, the host of "The Tonight Show" on NBC, have long sparred with the president. Kimmel recently had a spat with Trump through social media comments after Trump criticized the 2024 Oscars, which Kimmel hosted, as boring. Kimmel criticised Trump's immigration raids in Los Angeles last month.

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.”