United qualified for the quarter finals after beating CF Mounana 4-1 at the Lucas Moripe stadium on Saturday.
That win, coupled with a home win for TP Mazembe over Horoya, left Matsatsantsa second in the Group D stadings.
They now meet ZESCO United in the last eight as the Zambians topped Group C with Hilal Obayed disqualified from the competition.
“We go to ZESCO, at least it's not a long trip. It’s a nice close trip, close to home," said Tinkler.
“But the opposition is strong, they are a good team. We need to study them very carefully and make sure we put in a good performance and move on.
“We would love to get to the final and win it."
Supersport started the game against Mounana on a high note, scoring four goals in the first half but took their foot off the gas in the second stanza - a concern for Tinkler.
“It was a professional display in first-half. I thought we started the game very well, very positive, good formation, good movement," he said.
"We were looking to get the ball wide and that’s where we created problems for them and very nice goals.
“The second half was not good. We tried to motivate them at half-time explaining the importance of getting the 5th goal, the 6th goal and be professional in our application and attitude but we didn’t show it.
"We didn’t look good. We looked like we did not trust our formation. Bradly Grobler was playing high and not in the pocket like he did in first-half. Thuso (Phala) was playing high and so was Thabo [Mnyamane].
"We were too sloppy and gave away the goal. But overall I am happy we're moving to next stage of the competition."