The nuclear-powered sub is part of the group led by the Charles de Gaulle aircraft carrier. Other ships include a Horizon-class frigate, Chevalier Paul, and a Belgian frigate, the Leopold I.
By the end of the week, a F70 type anti-submarine frigate, La Motte-Picquet, as well as a Durance-class tanker, Marne, and an Aquitaine-class frigate will join the group, the media outlet added. A Royal Navy warship, the HMS Defender, and an Australian frigate are also expected to assist the Charles de Gaulle.
France is part of a multi-national coalition aimed at destroying the self-styled Islamic State.
Earlier this week, Russia and France agreed to coordinate their counterterrorism efforts in Syria. As soon as the Charles de Gaulle reaches its destination, both countries are expected to create a joint work group.
Next week, French President Francois Hollande will discuss the anti-ISIL campaign with Russian President Vladimir Putin in Moscow.