Dan Abrams, one of the first major names to join the primetime schedule of Nexstar Media’s NewsNation, plans to leave the roster early next year.

Abrams told viewers Thursday night that a range of business commitments would pull him away from doing “Dan Abrams Live,” the network’s regular 9 p.m. program. “I’ve reached the point where it’s impossible to keep devoting the time needed for this show while also running and growing my other businesses,” Abrams said at the end of his show.

The entrepreneur also runs several media businesses, including the media-industry-focused Mediaite and the spirts review site Bottle Raiders,...