Former New Zealand captain McCullum linked to England coach role
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The Daily Mail said McCullum, a key figure behind New Zealand's rise in both red and white ball cricket, had become a candidate on recently-appointed England director of cricket Rob Key's list of possible coaches.
Key is known to want to split the Test and limited overs coaching roles, as well as reintroduce an independent selector, with sacked head coach Chris Silverwood widely regarded as having been over-burdened by carrying out all three jobs.
He said the 40-year-old New Zealander was the inspiration behind much of his side's limited-overs success.
McCullum, however, also played in 101 Tests and was credited with laying the foundation for New Zealand's World Test Championship triumph under Kane Williamson last year during his time as red-ball captain from 2013-16.
Although McCullum has never coached a first-class team, the Mail said new England Test captain Ben Stokes may have got his way over Morgan in wanting to form "a high-octane red-ball partnership with McCullum".
Stokes's first assignment since being announced as Joe Root's permanent successor as England captain is set to be in a three-Test series against New Zealand starting at Lord's on June 2.
The best person
South Africa's Gary Kirsten had been regarded initially as the leading contender, having led India to the 2011 50-over World Cup before guiding his homeland Proteas to the top of the world Test rankings in 2012.
But the former opener could miss out for the second time running, having been overlooked three years ago in favour of Silverwood, sacked after a humiliating 4-0 Ashes defeat in Australia.
"There's no international cricket on during the IPL, so I don't see it as an issue in the day and age we live in," Key told Sky Sports on Tuesday.
"I would much rather have the best person for ten months of the year than someone not as good for 12."
Australia's Simon Katich and South Africa's Graham Ford are amongst the contenders for the Test job.
Interviews by a panel including former England captain Andrew Strauss, in his capacity as chairman of the England and Wales Cricket Board's (ECB) cricket committee and ECB chief Tom Harrison took place earlier this week.
England could now unveil their new coaching set-up before the week is out.