Amakhosi are amongst the teams chasing Mamelodi Sundowns at the top of the standings, with just five points separating the Brazilians and fourth-place, which Chiefs currently occupy.
Sundowns, Orlando Pirates and Moroka Swallows, first, second and third respectively, all have eight matches left in the campaign, while the Glamour Boys have an extra game in hand. And Bartman is convinced the race for Premiership glory will go down to the final round of fixtures, just as it had last season.
"We are going all out for both cups. We lost out on the Telkom Knockout, we lost out on the MTN8, and hopefully we can win these two to make our supporters happy," Bartman said.
"The league is going to be really tough. I think its going to go down to the wire, but we just take it one game at a time and try keep in touch with the (league) leaders."
Next up for the Soweto giants is Tuesday's home PSL encounter against Black Leopards, the team they thrashed 4-0 in the Nedbank Cup last-16 at the weekend.
Bartman, who is set for a run of starts following Itumeleng Khune's concussion, believes this time Lidoda Duvha will not roll over as easily as they did on Saturday evening, but nevertheless remains convinced of his side's chances in midweek.
"It's going to be a different ball game all together to the cup match on Saturday, but we are going to go there with the same mentality, and that is to win the game."