Conley warmed up on the court Sunday wearing a clear, plastic mask. But it has been less than a week since he had surgery, and the team announced he would not play.
The Grizzlies fell to the Warriors 101-86 with Conley sitting on the bench in a suit, his left eye still swollen.
Conley said he has "no idea" whether he'll play in Game 2 of the best-of-seven series Tuesday night in Oakland.
"Taking it day to day," he said.
Conley had been listed as doubtful for Sunday's game, the third straight in the playoffs he has missed.
The Associated Press contributed to this report.
Warriors cruise past short-handed Grizzlies in Game 1
Stephen Curry scores 22 points as the Warriors topple the Mike Conley-less Grizzlies in Game 1 101-86.