The two-time NBA MVP was hurt during his team's game against the Phoenix Suns on Wednesday, as he suffered a bad fall while going for a layup during the third quarter.
Golden State plan to provide a further update on Curry, whose hand became caught under Suns big man Aron Baynes, in three months - meaning he is unlikely to play again until February 2020.
The 31-year-old - a six-time All-Star - averaged 20.3 points and 6.5 assists in four games at the start of the new season.
His absence is a further blow to the Warriors, who lost Kevin Durant during the offseason and are also without long-term absentee Klay Thompson.
Stephen Curry injury update: pic.twitter.com/J9L5nsSTaA
— Warriors PR (@WarriorsPR) November 1, 2019
Photo Getty Images Caption: Stephen Curry