Hull school pupils are expected to be told to wear masks from Monday.
Public health bosses in the city said the measures will ensure all pupils and school staff start wearing face coverings in corridors and social areas.
The rules will also apply to visitors.
Primary school staff and visitors in the city will also be expected to wear face coverings in indoor communal areas but primary pupils will not have to wear them.
Secondary and primary schools in the East Riding introduced similar rules this week after new guidance was issued by East Riding Council.
Speaking at a city council scrutiny meeting on Friday morning, the city's director of public health Julia Weldon said moves to introduce new face covering rules for secondary school pupils in Hull were likely to be implemented next week.
She said: "Although rising infection rates among younger people is the story right now, that will be transferred into our older population in time."
Latest monthly figures for August show 65 per cent of all positive Covid-19 cases in Hull were among people aged 20 to 39-years-old.
Another seven per cent related to young people under the age of 19
Dr James Crick, Hull's consultant in public health medicine, said the new guidance for schools would be issued "imminently".
He said there were no current plans for primary school pupils to wear face coverings.
"There seems to be more risk of the virus spreading between adults and older children in transit areas. That's why we are looking at secondary schools rather than primary schools."