It comes after 658 cases of Covid-19 were recorded in the last two weeks to June 16.
Senior government sources said people could be ordered back indoors “within days,” The Sunday Times reports.
Crisis plans have been put in place in Leicester after a Covid-19 flare-up saw dozens of people admitted to hospital and more than 650 new cases recorded in the last two weeks
Health secretary Matt Hancock has reportedly been examining legal aspects of the shutdown and is said to be “considering all options”.
The first local lockdown could be imposed in Leicester after a surge in coronavirus cases in the city.
Emergency crisis plans have been put into place after dozens of people were admitted to hospital.
“We have seen flare ups across the country already, just in the last three or four weeks in particular.
She said: “That is correct.
Speaking on the Andrew Marr Show this morning, Home secretary, Priti Patel said it is correct that the city could face a local lockdown, Leicester Live reports.
She did not give any further indication of what might trigger a local lockdown, when it might begin nor how it might be implemented and enforced.
“The Health Secretary (Matt Hancock) was in touch with many of us over the weekend explaining some of the measures, the support on testing, resources that are going into the local authority as well, because with local flare ups it is right we have a localised solution in terms of infection control, social distancing, testing and many of the tools actually within the Public Health England space that will come together to control the virus and to stop the spread so we can get on top of the infection.”
“There will be support going into Leicester.
It follows the chaotic scenes on Bournemouth beach which drew 500,000 visitors and led to a major incident being declared.
He issued a fresh message to people ignoring social distancing rules as England gets set to ease lockdown on July 4.
Meanwhile, Prime Minister, Boris Johnson has already said he will make the “necessary closures” in the event of local outbreaks.
In Leicester, there have reportedly been new infections at a Sainsbury’s and a sandwich factory, and five schools have now been shut.
The Department of Health and Social Care said: “We are supporting the council and local partners in Leicester to help prevent further transmission of the virus.
“NHS Test and Trace will contact anyone testing positive to help them identify their recent contacts and advise who may have been near to someone with the virus to stay at home to prevent the spread.
“We urge the people of Leicester to continue to practice social distancing, wash their hands regularly, get tested immediately if they have symptoms and follow the advice they receive if contacted by NHS Test and Trace.
“We have deployed four mobile testing sites and made thousands of home testing kits available, to ensure anyone in the area who needs a test can get one.