
Alimi scored after 79 and 88 minutes to earn Stars a dramatic 2-0 round-of-30 second-leg win and overall victory on away goals after a 3-3 aggregate tie.
Lobi reached the group phase in their only previous Champions League appearance in 2000 while Gor were hoping to become the first qualifiers from Kenya.
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The five former champions in action secured places in the December 28 draw when the 16 survivors, including trophy-holders Esperance of Tunisia, will be split into four groups.
Wydad Casablanca of Morocco needed away goals to survive after losing 3-1 at Senegalese club ASC Diaraf, who lost the first leg 2-0 in Casablanca.
After the Moroccans fell two goals behind in Dakar, Mohamed Ounnajem converted a Wydad penalty before Diaraf scored again a minute from time to create a tense finish.
Orlando Pirates of South Africa, who had the toughest task after only drawing 0-0 at home to African Stars of Namibia last weekend, won the return match 1-0 on an artificial pitch.
Zambian Justin Shonga atoned for squandering several first-leg chances by scoring the crucial goal after 55 minutes in Windhoek.
Mamelodi Sundowns, the other South African contenders, outclassed Al Ahly Benghazi of Libya 4-0 in Pretoria after a goalless first encounter.
Uruguayan Gaston Sirino, Liberian Anthony Laffor and Venezuelan Jose Meza scored for Sundowns and Walid Omar deflected a shot from New Zealander Jeremy Brockie into his net.
Five-time champions TP Mazembe of the Democratic Republic of Congo equalised through veteran Tresor Mputu to draw 1-1 at Zesco United of Zambia and progress 2-1 on aggregate.
Ismaily of Egypt lost 2-1 away to Cameroonian side Coton Sport, but advanced 3-2 overall as they seek to become African champions 49 years after achieving the feat for the only time.
There will be seven more second legs Sunday with record eight-time champions Al Ahly of Egypt defending a 2-0 lead over Ethiopians Jimma Aba Jifar in Addis Ababa.
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