The city is now held by Khalifa Haftar's eastern-based Libyan National Army (LNA), which retreated there last year after failing to capture Tripoli in the west.
The lawmakers will debate approving a government formed by Abdelhamid Dbeibeh, selected as interim prime minister at a forum held by the United Nations in Geneva last month.
The parliament members are expected to debate the government on Monday but not vote on it until Tuesday at the earliest.
Libya has also been subjected to a UN arms embargo since 2011. Independent UN experts report separately to the Security Council on the implementation of those measures.
NATO on Friday confirmed it was looking at how its Operation Sea Guardian, which has two ships patrolling the Mediterranean, could support the EU's new Operation Irini.
Russia has been accused of sending several thousand mercenaries from private Russian security company Wagner to support Haftar, accusations the Kremlin denies.