Curry has missed both games of the Texas swing for the Warriors. Golden State suffered its worst loss of the season, 114-91, without Curry on Wednesday night at Dallas.
Warriors interim coach Luke Walton said Curry is improving physically, and Walton hopes he'll play soon.
"He did more today than he did yesterday, so that's progress," Walton said of Curry's brief workout before Thursday's game. "He's not going to play tonight. We're not going to risk anything."
Curry, who leads the NBA with a 30.5 scoring average, most recently played in Monday's 122-103 victory over Sacramento.
Curry isn't the only member of the Warriors recovering from injury. Coach Steve Kerr is progressing from back surgery and has made both games of the Texas trip. There is not yet a timetable for Kerr's return to the bench. Team officials wanted to see how his body feels making road trips.
"My understanding of why he wanted to come on the trip [is] No. 1 to see how his body would react and how his mind would react," Walton said. "No. 2, he's just sick and tired of sitting around the house while we're traveling. It's probably a good test, a back-to-back. We get in late tonight and all that type of stuff and see how he feels."
Walton said he isn't thinking about whether this will be his last game as Warriors coach. The Warriors, with the NBA's best record at 29-2, next play Saturday against Denver.
"He seems good, in good spirits, furious at me for getting him another loss," Walton said of Kerr. "Besides that, he seems like he's handling it pretty well."