Basketball Otago (BBO) is hosting the event in October but recent revelations about its financial troubles sparked concerns the association might not be able to deliver the tournament.
BBO has amassed debts of more than $100,000. General manager Markham Brown has resigned and will finish up on Friday.
Office and events manager Sandy Wallace has been made redundant and finished up last week.
That leaves competitions manager Greg Brockbank and director of development Mark Dickel as the only remaining paid employees.
However, despite a skeleton staff and a debt crisis, BBNZ chief executive Iain Potter is confident BBO can cope.
He spoke with BBO chairman Ricky Carr last week and has been reassured.
''Ricky expressed every confidence they can rally the resources they have to make sure everything is OK,'' Potter said.
''And one of the team from here, as we do irrespective of the situation, will get down there in the next two to three weeks to work through the tournament management plan with them.
''If there are any concerns arising as a result of that, then we'll address that directly with Ricky and the board. We'll just see what that reveals.''
It is a major tournament for BBNZ, involving 40 teams, and is of ''considerable benefit to Dunedin''.
''Most of those teams will be travelling in and staying for the best part of four or five nights. It is a big event ... but Basketball Otago run events all the time.''
Carr told the Otago Daily Times the under-13 tournament was the least of the BBO's worries.
''We've got a lot of experience running tournaments and we do have a competitions manager. He is very competent.''
The association also has a good volunteer base it can tap into to ensure the event runs smoothly.