According to UK broadcasters, the protest has so far remained peaceful and French fishermen have said that they do not intend to blockade the port of Saint Helier.
Fishing quotas were one of the sticking points in the negotiations of the post-Brexit trade agreement between the UK and the European Union following the UK’s exit from the bloc in January last year.
Although both parties signed a trade agreement in December, Paris has been accusing London of preventing French fishing boats from operating in the UK waters because of difficulties in obtaining licenses.
The row escalated on Wednesday after France reportedly threatened to cut the electricity supply to Jersey, which is located 23 kilometers (14 miles) off the northern French coast and 140 kilometers south of UK’s coast.
On Wednesday evening, UK Prime Minister Boris Johnson urged authorities of the self-governing island to find a solution and de-escalate tensions through a dialogue with France.
Johnson warned, however, that any blockade by French fishermen would be completely unjustified and announced that as a “precautionary measure” two patrol vessels from the Royal Navy would be monitoring the situation.