SBD reported that Durant's stake is between 1% and 5%.
Durant joins the Houston Rockets' James Harden in owning a small piece of MLS teams. Harden joined the ownership group of the Houston Dynamo, the Houston Dash of the National Women's Soccer League and BBVA Stadium in July 2019.
This wasn't the first time Durant had showed interest in an MLS club. Durant had twice attempted to purchase a minority stake in DC United, according to The Athletic.
A representative from Durant's camp declined ESPN's request for comment.
Earlier on Thursday, the NBA board of governors voted to approve a 22-team return-to-play format to finish the 2019-20 season. The Nets, who are currently the No. 7 seed in the Eastern Conference, will be one of the squads resuming the season in Orlando, Florida, on July 31.
Durant has missed the entire season with a torn Achilles tendon.