The 43-year-old, who joined the network earlier this year, will host That Sunday Night Show as bosses hope to turn him into "the next Clive James", The Sun reports.
The show, which is to be piloted next month, will see the Daybreak host take a look at the week's current events and feature guests.
"It will be built around Adrian's personality," a source told the paper. "So it will have humour and be thought-provoking. We see him as a successor to Clive James, they share the same wry approach to life."
> Adrian Chiles 'told to smile on Daybreak