The Guardian claims senior sources at Channel 4 News have told it several shows including More4 News could go completely to meet the need to cost cuts.
The broadcaster is likely to cut 10% from its £600m programming budget, according to chief executive Andy Duncan.
The main Channel 4 News evening show is well respected for its coverage and gathers an audience of around a million viewers.
But More4 News, a half-hour programme at 8pm-8.30pm on weekdays on More4, has a much smaller audience and attracted only 33,000 viewers on May 14.