Despite Thursday’s news that three members of the 76ers organization have tested positive for the coronavirus, the Warriors currently have no plans to test players or staff who aren’t showing symptoms of the respiratory illness.

“This situation is constantly evolving,” a team spokesman said. “But as of now, we’re not testing asymptomatic players.”

No coronavirus cases have hit closer to home for the Warriors than those involving the 76ers, who lost to Golden State 118-114 at Chase Center on March 7. That marked Golden State’s second-to-last game before the NBA suspended play in the wake of Jazz center Rudy Gobert’s positive coronavirus test on March 11.

The 76ers’ news release Thursday didn’t specify how many of the three members who tested positive were players. Before that announcement, seven NBA players — Gobert, Jazz guard Donovan Mitchell, Pistons forward Christian Wood and four Nets, including former Warriors forward Kevin Durant — had tested positive for the coronavirus.

Shortly after the 76ers’ announcement, news surfaced that Celtics guard Marcus Smart and two Lakers players have also tested positive. Along the way, Golden State officials have been insistent that they’re not testing their players for the illness because testing kits are in short supply in San Francisco.

As of Thursday, 894 people have tested positive for the coronavirus in California, third most in the U.S. behind New York (4,152 cases) and Washington state (1,187). But given California’s testing shortfall, potentially thousands more in the state are infected.

On a conference call with reporters Tuesday, Warriors head coach Steve Kerr voiced frustration with the lack of testing before he conceded, “We’re in the same boat as everybody. It’s very difficult to find a test in California and many places.”

Connor Letourneau is a San Francisco Chronicle staff writer. Email: cletourneau@sfchronicle.com. Twitter: @Con_Chron