The New York Times first reported on CNN's primetime shakeup, based on two sources who requested anonymity because there has yet to be a formal announcement from the network.
Cuomo has risen to prominence at the network thanks to his impressive morning show New Day, co-hosted with Alisyn Camerota, which provides aggressive coverage of the Trump administration - and plenty of Mediaite headlines.
As the Times noted, the move would catapult the 47-year-old host - whose father is Mario Cuomo, the former NY governor, and brother Andrew Cuomo, the current one - "into the highest echelon of cable news, pitting him directly against Rachel Maddow of MSNBC and Sean Hannity of Fox News".
John Berman, now the co-anchor of "CNN Newsroom" with Poppy Harlow, will replace Cuomo on "New Day", co-anchoring with Alisyn Camerota.
CNN is looking to launch "Cuomo Prime Time" in the spring and air it at 9 p.m. EST on weekdays, Variety reports.
In January, Cuomo hosted a temporary show "Cuomo Prime Time", although he told The Hollywood Reporter that he had "no ambition" to make the jump to primetime permanently.
In total viewers, Cuomo averaged 1.11 total viewers in prime time and finished 25th overall against its competition.
In a tweet, Cuomo confirmed the new show, saying he hopes to "talk TO people more and ABOUT them less".
Cuomo, whose father Mario Cuomo was the former governor of NY and his brother Andrew Cuomo is the current governor, has been the co-anchor of "New Day" since 2014.