Mubiru avoided the conversation when pressed, during his pre-match press interview.
Having played a game fewer, KCCA FC, who sit sixth with 35 points, are nine points off table leaders Kitara FC in the Uganda Premier League.
The Kasasiro Boys will cut the deficit to six points should they manage victory over Mbarara City FC later on Thursday at the MTN Omondi Stadium, Lugogo.
Even then, head coach Abdallah Mubiru feels his team can't be dragged into talks of a possible title challenge.
Mubiru avoided the conversation when pressed, during his pre-match press interview.
"We shall not change, we're going game by game, because we're more comfortable one game at a go."
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"It (should) become a practice that we're involved as Federation (FUFA) to advise such that we don't get some challenges.”
"We can not look at the final games before these games here," he added.
Meanwhile, KCCA take on a side that beat them 2-1 in the first round, courtesy of Sadat Nsubuga and Henry Kitegenyi.
Ashraf Mugume scored KCCA's consolation at the Kakyeka Stadium on December 6.
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They have thus petitioned local football custodians FUFA, to sort the shortfalls before they honour the match.
KCCA have managed just two wins against the Wasswa Bbosa-coached side in the last five league games. There has been two draws, with Mbarara winning once.