Mr Hancock told LBC the Government will not be enforcing the lockdown with fines - but they will impose travel restrictions on the people of Leicester if they don't obey the rules.
Mr Hancock said the measures will be kept under review and will not be kept in place "any longer than is necessary", adding: "We'll review if we can release any of the measures in two weeks".
There was frustration, however, among businesses at having to turn away customers just as the rest of England was preparing for a further opening up with the return of pubs, restaurants and cinemas on Saturday. Schools, which have been gradually welcoming children back, have to send them home on Thursday, and residents are being told to make only essential journeys.
But with the city of Leicester being put in a local lockdown following a coronavirus spike, there are serious doubts about whether the Premier League will go ahead.
Health Secretary Matt Hancock is to meet leaders in the city of Leicester, amid United Kingdom plans to extend a lockdown in the area after a surge in Covid-19 cases, prompting anger from the city mayor.
It also said Birstall, Thurmaston and all areas of Oadby and Wigston were included in the lockdown.
"As yet the government has not announced what it accepts to be the boundary of this lockdown, so policing it is going to be something of a challenge until we know what the area is to be policed", said Leicester Mayor Peter Soulsby.
"So we've been taking this highly localised approach but unfortunately that targeted action wasn't working in Leicester and that's why we have taken this much broader measure".
Premier League chief executive Richard Masters has warned that Leicester matches may have to be postponed or moved to a neutral stadium after the city went into full lockdown.
"We've got that data and we're still trying to work through the mountain of stuff that's now come through and try to map it and to see where in the community the virus is still active and where it might be spreading".
"I have always said we will react accordingly".
"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.
Labour leader Sir Keir Starmer said his party supported tougher measures in Leicester but the Government had "been slow about it" and many people were left with their questions unanswered.
Some schools had already closed prior to the local lockdown.