It is “a significant concession”, the paper says, aimed at breaking the deadlock in negotiations with the EU – though it risks “enraging” Brexiteers.
The paper says the idea surfaced after the former foreign secretary began privately setting out his leadership stall to cabinet ministers.
Many papers believe Mr Johnson will make a more public pitch for the top job when he speaks at the Tory party conference later.

The paper adds that senior Conservatives are concerned that the speech at a fringe event will prove more popular than anything said from the official conference stage.
The Daily Mirror disagrees. It is one of several papers which prints a picture of Mr Johnson in a field in what the Mirror says is a childish jibe at Theresa May, who said running through wheat as a child was the naughtiest thing she had ever done.
According to the Mirror, the stunt has led colleagues to “see through Mr Johnson’s harmless buffoon-like exterior” and realise he’s just an “ambitious bully”.

As well as prioritising high-skilled workers, the Home Secretary Sajid Javid says the future visa scheme will also try to drive integration.


The website says such a classification would allow insurers to minimise their liabilities to firms, some of which are facing big refurbishment bills.
The Telegraph says it is an attempt to drive up Britain’s poor record in identifying the disease, which lags far behind most developed countries. The target is set to be announced later this week as part of a 10-year strategy.
The campaign group Liberty says the use of electro-shock weapons on such vulnerable people can never be justified, given the pain, distress and serious health consequences they can cause.
One police force tells the paper they are only used where it is “absolutely necessary.”
Many women were unaware it was being increased from 60 to 66, the Independent says, leaving not only “huge holes” in some women’s finances, but also high levels of stress, including suicidal thoughts for the worst affected.

Official blue plaques are given out by English Heritage in London and councils and other groups are free to put up their own around the UK.
The Daily Telegraph reports Read, the chairman of the British Plaque Trust, has pointed out there are 50 plaques for Charles Dickens alone, and one for JRR Tolkein on a pub where he only stayed one night.
“That’s nonsense,” he says.