The health secretary said the city had "10% of all positive cases in the country over the past week".
A spike in infections in Leicester means the city has three times more cases than the city with the next highest total.
The lockdown restrictions imposed across the United Kingdom in March will be reinforced in Leicester, the government has announced.
Schools in the city, where the remains of King Richard III of England were found under a auto park in 2012, will close again from tomorrow, with Mr Hancock saying there had been an unusually high incidence of infections in children there.
Under the new lockdown measures, non-essential shops will close in Leicester while schools will close to most pupils from Thursday.
"The furlough scheme, which will have been open for eight months by October, has been a lifeline for millions of people and as our economy reopens we want that support to continue".
"Just about every eventualilty between our officials and DCMS officials has been discussed at some point", he told Sky Sports.
However, Mr Peter Soulsby, the city's Mayor, said it had been hard to get details from the government and even the exact boundaries of the lockdown.
Chancellor Rishi Sunak said: "Our number one priority has always been to protect jobs and businesses through this outbreak".
A statement from Leicestershire Police said it was a "dynamic situation" and it would "provide proportionate policing under the relevant legislation".
"If that were to happen in multiple areas or the virus creates other risks then obviously there is that risk that we might not be able to complete the season", he added.
- Britain's most senior police officer Dame Cressida Dick has urged the public to be calm when pubs reopen in much of England on Saturday, as hospitals were told to prepare for an influx of cases on the night.
- The number of deaths involving Covid-19 in the United Kingdom is now just under 55,000, according to the Office for National Statistics (ONS). "It's a very safe environment for the games to be in".
Responding to reports that a local lockdown could be enforced, Johnson warned that the United Kingdom is not out of the woods yet, saying "We are concerned about Leicester, we are concerned about any local outbreak".
People have cars. In fact, it might actually backfire, with people from the most virus-hit city dispersing to their local towns so they can have a pint or go shopping, thus spreading the virus into places that were less badly affected.