"Time is running out," Dayri told AFP in an interview yesterday. "Terrorism amounts to a danger not just for Libya and its neighbours. It is an intensifying threat to Europe.
"Without a political solution, the country could get trapped in a full-blown civil war like in Syria," he said.
The North African country has collapsed into a bitter struggle between rival governments and militias since dictator Moamer Khadafi was overthrown and killed with Western help in 2011.
There are also fears that the conflict is attracting an increasing amount of foreign jihadists, and a number of attacks have been claimed by the Islamic State group.
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The minister, a member of the Tobruk government, underlined that his government is not asking for a new Western military intervention as in 2011, but only for "the reinforcement of the Libyan army's capabilities".
"The creation of a national unity government is a priority for Libya, not just an international demand," said Dayri. "But even if we achieved that tomorrow, we would still need help with our army.
He appealed to the UN Security Council last week to remove the arms embargo that has been in place since 2011, but the request has met with resistance, particularly from Russia, over concerns the weapons may end up in the wrong hands.
The international community has been pushing for a diplomatic solution, but is increasingly concerned that Libya is turning into a chaotic zone that can be exploited by jihadist groups.
The threat is heightened by Libya's proximity to Italy, and its use as a launchpad for thousands of migrants trying to reach Europe by boat.