Babina Noko are enjoying another good run in the Betway Premiership this season, in third place on the standings with 32 points from 18 games, just six points adrift of league leaders Orlando Pirates.
They overcame Highbury FC 1-0 in their last 32 clash and now take on TUKS, who saw off Hungry Lions 5-4 on penalties after a 1-1 stalemate.
Speaking ahead of Sunday's clash, Tinkler called on his team to have a "strong mindset".
He said on IOL: "I explained to the players prior to the Highbury game that complacency is the biggest threat.
"Sometimes, as I have mentioned before, when I start talking to the players about it, then it happens.
"I thought we were complacent against Highbury. We have to go into the game against TUKS with a completely different mindset. We should know that we are better than them."
"I said to the players right at the beginning of the season that to compete at the highest level, clean sheets are the most important factor and goals will come," Tinkler added.
Sekhukhune most recently reached the Nedbank Cup final in 2023 but lost 2-1 to Orlando Pirates.