CBS 'The Late Late Show Carpool Karaoke Primetime Special' airs Tuesday on CBS. Late Late Show host James Corden previewed his "Carpool Karaoke" primetime special with a musical number and a Jennifer Lopez appearance. "I went to my network boss and said screw it. raps Corden in a new promo video to the sounds of Macklemore & Lewis' "Downtown." He raps, "Viewers will watch it.