The KwaZulu-Natal outfit are occupying third spot on the table after eight rounds of fixtures, four points behind log leaders Mamelodi Sundowns and five points ahead of Kaizer Chiefs in fourth spot.
Head coach Zwane has opened up on their ambitions for the season and their main objective of qualifying for CAF tournament for the second time in the club's history.
"We need to keep grinding our results," said Zwane to reporters after 2-1 victory over KZN rivals Durban City on Tuesday.
"These games, when they come, they come thick and fast, so we need to be ready for each and every game we come across. So far, we want to keep it that way.
"I would be lying if I told you where we can finish. We have goals like any other team, but the league is a marathon. You never know what's going to happen as the season progresses, but we fancy our chances. We want to compete in Africa next season."
Usuthu will turn their immediate attention to their Carling Knockout Round of 16 clash against Kruger United before ending the month with their another KZN derby against Golden Arrows.
Orlando Pirates coach Abdeslam Ouaddou believes careful player management will be crucial as the Soweto giants prepare for a demanding season that could see them feature in close to 60 matches.
Kaizer Chiefs coach Fernando Da Cruz remains convinced that his side can turn their CAF Confederation Cup campaign around despite suffering a narrow defeat to Red Arrows.
Mamelodi Sundowns coach Miguel Cardoso wants his side to show aggression and attacking intent against Wiliete SC in the decisive second leg of their CAF Champions League preliminary round tie on Friday.
Siwelele leave it late to seal first Betway Premiership win of the season clash with narrow 1-0 victory against Polokwane City at the Free State Stadium on Sunday afternoon.
