The Algerians scored once in each half at the Stade Chedly-Zouiten to pull four points clear atop Group B.
El Hedi Belameiri and Sofiane Younes were on the scoresheet against the Libyan hosts, who stayed third in the group.
Jozef Vukusic's men were in the contest throughout, but their chances of taking anything out of the game were ended in second-half additional time.
The group's two other teams – CS Sfaxien and ES Tunis – meet on Saturday before the final two matchdays.
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