The Isle of Wight Council says all travel to the Island for holidays and visits should cease in the wake of the Government's lockdown announcement.
However, the local authority has warned it "cannot police each individual reason for travel" - and is reliant on everyone obeying the coronavirus laws.
It says people can continue to use the ferries for work and medical needs though.
The council also says it has considered and rejected the chance to offer additional measures on ferries, including temperature testing for passengers.
Isle of Wight Council leader, Dave Stewart, said:
"Additional restrictions such as temperature testing on passengers have been considered and discounted because only a Covid-19 test can determine whether a person has an infection and many people show no symptoms at all."
A statement added:
"We know that travel connections with the mainland are vital to the Island’s resilience and the wellbeing of its community at this time.
"Food, fuel, medical supplies and materials need to be maintained, as does the availability of mainland healthcare; keyworkers traveling to support the community, and for commuters travelling to and from work.
"The ferries also carry all of the goods we might purchase online while non-essential retail is closed. The Island needs to have services open for these reasons.
"The ferry operators are very active in working with the council to dissuade people from travelling that do not need to do so and this will be helped by the government’s clear guidance that people should not travel for holidays or to visit second homes.
The council says it is working with Wightlink and Red Funnel to understand the impact that lockdown will have on services.
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