Commuters could be asked to take their temperature before leaving home as part of proposals to make public transport safer.
It is understood to be among measures being considered for when the coronavirus lockdown is eased.
A Department for Transport (DfT) spokesperson said No 10 would continue to be guided by science.
Next Thursday, the PM will set out a “road map” on how to restart the economy and reopen schools.
Boris Johnson’s “comprehensive plan” will also explain how people might travel to work and make life in the workplace safer.
A fever – a temperature above 37.8C – is one of the two main symptoms of the virus – the other is a dry, continuous cough.
It can make you feel warm, cold or shivery.
Government sources told the BBC that no decision has yet been made and that temperature checks weren’t necessarily a priority.