In the other quarters, Yanga progressed to the last four with a 2-1 win over Kagera Sugar. The other semi will see lower league side Sahare All Stars, who beat Ndanda FC 4-3 on penalties, take on Namungo FC.
The semis will be played on July 12 with the finals to be staged a week later.
Simba will be chasing a domestic double after wrapping up the league with eight matces remaining.
Azam Cup quarterfinal results:
- Simba 2-0 Azam
- Yanga 2-1 Kagera Sugar
- Namungo 2-0 Alliance
- Sahare All Stars 4-3 Ndanda SC.