Under Boris Johnson’s Brexit trade deal EU vessels will continue having access to UK waters, until the end of 2026.
However, they will have to prove they were active in the area between 2017 and 2020 to get a licence.
According to Bertrand Sorre, deputy for the 2nd district of La Manche, the first batch of authorisations are due to expire on September 30.
Speaking to French news site Cosmo Sonic, he claimed French fishermen do not yet know whether these will be extended.
Mr Sorre said: “It means that in a few days these fishermen have no idea if they will be able to continue doing their work.”
Concern was also expressed by Stéphanie Yon-Courtin, a French MEP from Emmanuel Macron’s En Marche! Party.
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She accused authorities in Britain, Jersey and Guernsey of “delaying the implementation of the Brexit deal”.
Ms Yon-Courtin MEP said: “In the face of British bad faith, it is time to act.”
The politician added: “As of January 1, only a handful of licenses have been issued, and that is a real affront. An insult to our fishermen.”
On Saturday more than 100 French fishermen protested in Armanville, Normandy, demanding the renewal of their licences.
The site was chosen as a cable from Armanville is used to help power Jersey.
In May the island was targeted by dozens of protesting French fishing ships, resulting in the dispatch of two Royal Navy patrol boats to keep order.
Additional reporting by Maria Ortega
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