Ian Hitchcock, 52, died after eating a contaminated sandwich while at the Royal Hospital Derby.
According to The Times, he had been admitted about five weeks ago and died on June 8.
Mr Hitchcock's brother Alan, 54, told the newspaper: "When he went into hospital, I thought he would soon be back at work. I didn't think he would die because of the food."
The Times reported that Mr Hitchcock, from Matlock in Derbyshire, ran a family haulage company with his brother and was the father of 19-year-old twin sons.
He is said to have been receiving treatment for cancer before his death.
An inquest into his death will open at Derby Coroners' Court at noon on Friday, the court confirmed.
Five people are suspected to have died after eating pre-packaged sandwiches and salads linked to the same supplier, The Good Food Chain.
Earlier this week, the NHS identified University Hospitals of Derby and Burton as one of the hospital trusts affected by a patient death.
There were also two deaths at Manchester University NHS Foundation Trust, one at Aintree University Hospital NHS Foundation Trust in Liverpool, and one at University Hospitals of Leicester NHS Trust.
Three other trusts had diagnosed listeria cases linked to the outbreak with no deaths - two at Western Sussex Hospitals NHS Foundation Trust, one case at Frimley Health NHS
Foundation Trust and one at East Kent Hospitals University NHS Foundation Trust.
Health Secretary Matt Hancock has previously warned there will be "severe consequences" if there is evidence of "wrongdoing" over the listeria outbreak.
The Good Food Chain, which supplied 43 NHS trusts across the UK as well as one independent provider, voluntarily ceased production and Public Health England (PHE) said the investigation into the outbreak was continuing.
The business was supplied with meat produced by North Country Cooked Meats, which has since tested positive for the outbreak strain of listeria and also stopped production.
Listeria infection is rare and usually causes a mild illness in healthy people.
However, it can have more serious consequences among those with pre-existing medical conditions, pregnant women and those with a weak immune system.
PHE insisted the health risk to the public remains low and said people should only seek medical attention if they develop symptoms.