Siphosethu Ndlabi scored the only goal of with a 23rd minute penalty at Athlone Stadium on Tuesday.
Milford can now take a break this weekend as City travel to Polokwane to face Magesi at the Seshego Stadium on Saturday. They are next in action against Magesi on Wednesday.
Having entered the play-offs as underdogs, Pupuma admits that their promotion hopes lie in their hands, with two home fixtures to come, after a morale-boosting away win over City for a massive three points.
Pupuma explained that playing at home gives the team a real chance of a win in their next fixture.
"We know that the game against Magesi FC will be a tough encounter, but we are banking on the fact that it's a home game and our record at home is very good," he said on IOL.
"As for the mental side, we as a team still have the same goal as we did at the beginning of the season — and that is to gain promotion to the Betway Premiership.
“We just need to be grounded and focused as a team and also keep the boys focused on the task at hand. The win against Cape Town City gave us a massive boost, but the job is not yet done and we have to stay focused.”
Cape Town City were dealt a blow in their Betway Premiership promotion hopes with a 1-0 home defeat to Milford in the opening game of the relegation/promotion play-offs.
TS Galaxy came back from behind to defeat Milford FC 4-3 on penalties following a 1-1 draw in their Nedbank Cup semi-final at the Solomon Mahlangu Stadium on Sunday afternoon.
Durban City and TS Galaxy will be looking to show their superiority and book their place in the Nedbank Cup final when they take on Casric Stars and Milford, respectively, this weekend.
Sekhukhune United coach Eric Tinkler says he was proud of his players' performance despite their "heartbreaking" shock Nedbank Cup quarter-final loss to Milford FC.
