The Swede, who was appointed to the Mayfair hotseat last week Monday, needed a 59th-minute equaliser from Dove Wome at the Orlando Stadium to avoid defeat this past weekend after Rodney Ramagalela had opened the scoring for Rise and Shine just six minutes prior.
Pirates were arguably unlucky not to have snatched the win deep into second-half stoppage time as Riyaad Norodien, who scored his first Bucs goal against Cape Town City last week, saw his shot cannon off the post in the last minute of added time against Polokwane.
The result means Pirates have now gone 10 games without a win, with their last victory coming against Chippa United in November 2016, something Jonevret knows will have taken a toll on the players’ self-belief.
"I told them [the players] they must start believing in themselves because they are good football players," said the 54-year-old.
"They just have to start to believe and it's going to take a few weeks until you know the quality of the whole group, of course."
Meanwhile, Pirates captain Oupa Manyisa seems to be struggling to regain his best form after returning from a long layoff due to an ankle injury he suffered at the start of last season.
Jonevret, though, is not overly concerned, saying: "I heard his [Manyisa’s] form has gone a little bit down. I think Manyisa was absolutely okay [against Polokwane City], because I know he's a really good football player. He's in the direction now I hope."
Bucs, who remain 10th in the Absa Premiership standings, are next in action in the Soweto Derby against title-chasing Kaizer Chiefs at the FNB Stadium on Saturday.