"We must wait until the prime minister (designate Fayez al-Sarraj) tells us what security measures he is planning on taking and what he is hoping to get from the international community to ensure Libya's maritime security. We are ready" to help, Defence Minister Jean-Yves Le Drian told France's Europe 1 radio.
His remarks came a week after the European Union offered "concrete" support to Libya's unity government to boost the economy and security, including training for the Libyan coastguard to stem the flow of migrants across the Mediterranean.
European leaders are seeking to expand the mandate of a maritime mission in the Mediterranean dubbed Sophia which aims to combat people trafficking off the Libyan coast.
Sophia's area of operations is currently restricted to international waters, as the EU has neither a Libyan nor a UN mandate to patrol the Libyan coast.
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NATO is now three months away from launching its own patrols off Libya as part of a plan to stop migrants arriving in Italy, Italian Defence Minister Roberta Pinotti said yesterday.
French Foreign Minister Jean-Marc Ayrault said earlier this month that France does not plan to deploy ground troops or launch air strikes in Libya.
Oil-flush Libya descended into chaos after the 2011 NATO-backed uprising that ousted and killed dictator Moamer Kadhafi.
The country has had rival administrations since mid-2014 when a militia alliance took over Tripoli, setting up its own authority and forcing the recognised parliament to flee to the remote east.
But Sarraj has not yet received the endorsement of the internationally-recognised legislature, and the head of the rival Tripoli-based administration, Khalifa Ghweil, has refused to recognise his authority.