Ahead of Sunday's Tony Awards, host James Corden is making the rounds with various New York-based media outlets. On Monday, he appeared on Sirius XM's Howard Stern Show. Never one to shy away from exploring a potentially uncomfortable topic, Stern asked about the possibility of The Late Late Show host replacing Stephen Colbert as host of the earlier Late Show . But Corden, who tried to dodge the question as soon as Stern brought it up, insisted that his replacing Colbert is "never gonna happen.