In a tweet, Biden suggests co-hosting "Today" show with Hillary Clinton First Hillary Clinton is lunching with the president, then grabbing breakfast with the veep. Soon she may be... co-hosting a morning show with Vice President Biden? That's Biden's idea, anyway. After NBC "Today" show host Al Roker said on-air that he'd watch a reality TV show about Biden "in a minute," and suggested that the vice president might like to fill in as a host of the show, Biden replied via Twitter: "Keep the door open @alroker. Who knows, maybe @HillaryClinton and I can co-host. --VP