Public Health England is working with the health system and borough councils in parts of the city where cases have been identified. These do not appear to be linked to global travel, but are part of a wider national cluster.
The Prime Minister has warned the Indian variant of the virus is more transmissible than others and could pose a "serious disruption" to getting back to normal.
Boris Johnson said the COVID-19 variant first detected in India was of "increasing concern".
The Peterborough Telegraph approached PHE to ask whether any cases of the Indian variant had been found in Peterborough or Cambridgeshire.
Kits are being picked up - one PCR test per person - along with details of how to register the kits and take the test. Clusters of cases involving this strain of Covid have become increasingly common in the local areas surrounding Milton Keynes.
Arrangements have been made for those unable to leave home to have kits dropped off and picked up.
Should this be needed Public Health Northamptonshire has already carried out a door to door testing exercise in Corby last month so is well prepared to undertake this exercise.
"We will accelerate remaining second doses to over 50s".
The Government is looking at ways to "flex" the rollout of vaccines in the worst hit areas such as the North West, including vaccinating everyone in multi-generational households from 18-year-olds to grandparents, Mr Zahawi said.
PCR testing, genome sequencing and enhanced contact tracing are being utilised to help target clusters.
"We will support all schools who wish to encourage secondary age pupils and staff to continue to wear face coverings where possible", she said, adding that the position will be reviewed during half-term.
Surge testing is taking place in targeted parts of Nottingham city to identify cases of the so-called Indian Variant of coronavirus to minimise onwards transmission.