Martine Buckley, the headteacher at Yew Tree Community School in Oldham, Greater Manchester, said a number of pupils are currently breaking the rules.
The government is set to announce a plan for quarantine hotels for arrivals from certain countries.
Boris Johnson intends to start easing some coronavirus lockdown restrictions 'where he can' on 15 February, his spokesman has confirmed.
Sinead Quinn, owner of Quinn Blakey Hairdressing in Bradford, West Yorkshire, has suggested she will reopen again on January 30 despite already facing £17,000 in fines for breaching COVID rules.
A crowd of around 50 people was dispersed at the address in Lower Loveday Street, Birmingham, on Friday.
Police had to break up two huge parties attended by hundreds of people in London at the weekend.
The immunity offered by the Pfizer vaccine after a single jab was previously estimated to be "around 90%".
Several units had to be deployed to the venue on Beauchamp Place where more than 200 people were attending an illegal party.
The nine areas with highest numbers of coronavirus infections all lie in London or the North West of England.
It is estimated that more than one million people in England are currently infected with coronavirus.
The Met Police said officers found 400 people at a wedding at a school on Egerton Road, Stamford Hill, north London on Thursday night.
People in England could be given £500 if they test positive for coronavirus in a bid to encourage them to stay at home at follow self-isolation rules.
'Such irresponsible behaviour poses a significant threat to public health,' the home secretary said.