Usuthu head into the encounter with growing confidence after establishing themselves among the league's leading teams, but Zwane knows that maintaining their momentum will be important if they are to turn their promising start into a serious challenge for honours.
AmaZulu currently occupy third place on the standings, just four points behind leaders Mamelodi Sundowns, with a game in hand.
Their position reflects the progress made under Zwane, who is gradually building a young squad capable of competing with the country's established heavyweights.
The former Kaizer Chiefs mentor, however, is not allowing the team's impressive position to create unnecessary pressure, insisting that the project requires patience and consistent performances.
"We are conducting our project steadily, and we are not putting ourselves under pressure. Winning consecutive games builds the confidence and the winning mentality of the players," Zwane explained to the media.
Having guided AmaZulu to a fourth-place finish last season, Zwane is now determined to take the club another step forward and establish them as regular contenders rather than outsiders in the race for the top positions.