Jonevret conceded that Wits were the better side "in almost every part of the game" as Pirates walked away from the Bidvest Stadium as 1-0 losers on Thursday.
"Sometimes you have to admit that the other team was a little better, and this was one of those nights," said Jonevret in his post-match interview with SuperSport TV.
"But I'm a little bit sad that we didn't take the chance in the first half, I mean, we are not a team to play a lot of long balls, we should try to play from behind.
"I think Bidvest [Wits] were better than us in almost every part of the game. I don't know, with corners [Wits had 11 corners] – I don't think we had one corner.
"We have to go home, train and fight because we want to be as [good as] Wits and a few other teams, but we have a chance to revenge [bounce back] already on Sunday [against Sundowns] – hopefully we can do something good.
"I hope it's going to be a party at home against Sundowns, but today it's just congratulations to Wits – they were better than us today."
The result ended Bucs' run of six games in all competitions without defeat, and the Swedish tactician felt is was unfair to expect a win over the league leaders.
"There have been many games without a loss now, but okay this is the leader of the league, of course you can't, expect us to win maybe," he added.
"But as I said, I hope we should just go out their with shoulders down and try to play our best, because when I see them in training and in warm-up they are really good with the ball.
"It looks like we have very good success when they [opponents] step forward on us, normally we like that, but we'll have to analyse this [performance] tomorrow."