Brittany Ferries said it was not expecting its routes from Portsmouth and Poole to Cherbourg to be affected.
An American logistics group is already working on the port terminal at Cherbourg.
Trawlers also blocked the ports of Le Havre, Dunkirk, Boulogne and Cherbourg for several hours and Marseille and Martigues were brought to a halt.
About 500 passengers on a ferry from Ireland to France spent the night anchored off Cherbourg in north-west France after the vessel failed to dock.
He got off in Cherbourg to help repair another ship, taking the blueprint with him, and so avoided the 1912 disaster which claimed 1, 500 lives.
BBC: NEWS | UK | Northern Ireland | Titanic blueprint to be auctioned
Calais, Dunkirk, Dieppe and Cherbourg are all likely to be affected.
There were English soldiers stationed in Cherbourg I saw them when Maman and I went to the market on Saturdays but they were quiet and polite and never bothered anyone.
This year marks the 75th anniversary of the RMS Queen Mary's maiden voyage, when she set sail from Southampton, England to Cherbourg, France to New York for a five-day voyage in 1936.
The ship, which is undergoing restoration at the Hamilton Dock in Titanic quarter in Belfast was used to transport first and second class passengers to Titanic at the French port of Cherbourg.
He suggested the sub may have been spying on a top secret consignment of military grade plutonium, shipped from the French port of Cherbourg to Japan on board a British nuclear transport vessel.
BBC: France probes US submarine link to fishing boat sinking
Less than a year after the White Star Line-owned vessels left the city, the Nomadic was employed to transport first and second class passengers from the French port of Cherbourg to the Titanic ahead of its ill-fated maiden Atlantic voyage.
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