It will become the second toll road in Britain - following the M6 in Staffordshire - and will run between junctions 23 and 29 of the M4 to relieve congestion on the outskirts of Newport.
The newspaper reports that the Chancellor will agree to guarantee loans for the building of the M4 relief road, but the devolved Welsh government will meet the cost - expected to be around £830 million.
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A major series recalling the stories that made the headlines in Wales from the 1960s to the mid-2000s starts tonight on ITV Cymru Wales.
The forty year old has returned to her presenting role this week, after giving birth to her first child in January.
More than 14,500 emergency food supplies were handed out to local people by a foodbank in Cardiff last year.