Pirates have been on an impressive run of eight games without defeat – winning five of their last six matches since the new coach’s arrival in mid-December last year.
Zinnbauer has since guided his side to fourth position on the log standings, though fifth-placed Bidvest Wits still have four games in hand.
But with just 12 points separating The Buccaneers from log leaders Kaizer Chiefs, goalkeeper Wayne Sandilands earlier suggested that anything is still possible in the title race.
However, the German has since cooled any sort of title talk and insists his focus is still on improving the team before aiming for the ultimate prize.
“No… We look only to the next game, which is the toughest game. We have three more points, which I’m happy about, but we cannot fight for the title at the moment,” said Zinnbauer.
“We have not too many points for this. When we have a chance, I’ll never say never to fighting for the title [because] that’s what we want.
“But, at the moment, it’s too early to speak about the title or anything. We concentrate only on the next game.”
Bucs edged AmaZulu with a solitary goal at Orlando Stadium on Saturday evening, and Zinnbauer added that it is evident certain aspects are still lacking in their performances.
“You saw in the first half, it was not as good as we wanted, so we need time for the team [to get where we want them to be],” he continued.
“We have new players in the team and they need time too, so we cannot speak at the moment about the title.
“We create the team [chemistry] and make the systems better. The penetration in games is not yet what I want, so we have a lot – maybe four or five one-on-ones with the goalkeeper, and we don’t score a goal.
“So, that is what we want and that is all I speak about in the next days, weeks and months. I think it’s coming, and we’ll see what happens next season.”