Bandari picked from where they left following a 3-2 victory over Bidco United in a Kenyan Premier League match staged at Thika Stadium.
The Dockers opened the scoring through Felly Mulumba, who rose high to head the ball in from a well-delivered corner.
In the 21st minute, Bidco drew level from a freekick. Bandari were penalized just from outside the box and Nzuki stepped up, delivering a beauty that was well connected by Jacob Onyango from close range.
Just before halftime, Bandari restored their lead through Willam Wadri. Siraj Mohammed tried to sneak the ball inside the danger zone and Wadri had space to go high and head home.
The Mombasa-based side doubled its lead through substitute Chacha Mwita, with his first touch and grabbing his first goal in Dockers colors.
Bidco were left chasing for the game and with four minutes to stoppage time, they reduced the deficit. David Orem received the ball inside Bandari's box from Gathu, took a touch, and turned past Muluma before unleashing a shot past that was parried by Okoth and he made it 3-2 from the rebound.
Bandari are now temporarily on top of the table with six points acquired from two opening matches.