However 61 HoR members and some HSC members have already objected to the way their leaders have been negotiating their agreement, and have said they will oppose its ratification.
The HoR was elected as a national parliament in 2014 to a four-year term.
The HSC was created as part of a political agreement in 2015 from members of an earlier interim parliament elected in 2012.
However, under a 2015 political agreement, the international community requires both bodies to approve any new constitutional rules allowing an election, or a change in government.
Many Libyans have voiced scepticism that their political leaders are negotiating in good faith, believing them to be unwilling to bring forward elections that might remove them from their positions of power.
Persons:
finalise, Aguila Saleh, Khaled, Mishri, Adoulaye Bathily, HoR, Muammar, Abdulhamid, Dbeibah, Saleh, Angus McDowall, Andrew Heavens
Organizations:
High State, Morocco, NATO, of National Unity, Meshri, Reuters, Thomson
Locations:
TRIPOLI, Morocco, Muammar Gaddafi, Libya, Tripoli, Reuters Libya