Potter told Newstalk ZB on Tuesday that basketball is getting $300,000 for the men's national league, and $200,000 for the women's league.
He said it was "relief with a capital R" and that the women's league would probably have collapsed this season without this money.
Minister of Sports and Recreation Grant Robertson announced where about one third of the $265m package will go.
"Today we're setting out how $80 million will be invested, with $54 million of that over the 2020/2021 financial year for organisations from community level through to elite level," he said.
"All levels of the sector have been affected by COVID-19 and this funding is focused on making sure the sector continues to thrive, while also ensuring New Zealanders can continue to maintain their wellbeing through physical activity."
The details are:
1) A $68m fund named Tū Manawa Active Aotearoa will support community sport. This particularly aims to help "younger people who are missing out, particularly in higher deprivation areas".
2) A $25.4m fund to bolsters Sport NZ's partners, including helping with the costs to run national leagues with basketball getting a special mention.
3) $10m for a second Community Resilience Fund to provide more support for local and regional organisations.
4) An "initial" $7.3m to upgrade facilities for upcoming hosting of world cups.
The total support package over four years was revealed in May's Budget 2020.