Comoros scored a late goal to beat Lesotho 1-0 at Johannesburg’s Orlando Stadium on Saturday.
Comoros move to 6 points while Lesotho are still bottom.
Zambia thrashed Ivory Coast 3-0 to go top of Group H on 12 points, 2 ahead of the West Africans.
Zambia will head to Comoros Island in September on match day 6 with qualification sealed.
Ivory Coast will welcome Lesotho at home on the final day.
Under Avram Grant, the Chipolopolo Boys have won the last three matches.
Ivory Coast have qualified as host.
