The matchday 5 point lifted the Carthage Eagles to 11 in Group G and ensured them of a top-two finish and qualification for the 17 January-8 February finals in Equatorial Guinea. Algeria and Cape Verde Islands booked places at the three-week tournament last month.
Egypt host Senegal Saturday in the other Group G fixture and with just one point separating the sides, the result could determine who accompanies Tunisia. Forcing a draw at the national stadium in Gaborone meant Botswana ended a run of four consecutive group losses that began with a 2-1 defeat in Tunisia two months ago.
Côte d'Ivoire boosted their chances of reaching the biennial African football showcase by thrashing Sierra Leone 5-1 in Group D at Stade Felix Houphouet-Boigny in Abidjan. Former Chelsea striker Salomon Kalou bagged a brace and Liverpool defender Kolo Toure, Max-Alain Gradel and Gervinho also scored for the Elephants.
Côte d'Ivoire are second with nine points, one behind Cameroon and three ahead of Congo DR, who play in Yaounde Saturday. There are 12 qualifiers scheduled for Saturday with defending champions Nigeria needing a victory in Congo Brazzaville to have a realistic chance of qualifying.