An X-ray showed that the rookie outfielder suffered a strained muscle to the back of his hand, ruling out the possibility of an extended absence and instead leading the A's to list him as day-to-day.
"No breaks -- good news," manager Bob Melvin said.
Added Cespedes: "I'm happy because it's good news."
Cespedes will attempt to swing a bat on Thursday. Melvin is not ruling him out of the team's series opener against the Tigers, saying if he's not in the lineup on Thursday, "maybe the next day."
Cespedes said the injury surfaced last week while the team was in Boston but, at the time, wasn't of much concern. It was on Tuesday, before he was a late scratch from the A's lineup, when the soreness peaked during batting practice.
New teammate Brandon Inge called Wednesday's news "peace of mind for the entire team."
"You don't want to lose a bat like that in the lineup," he said of Cespedes, who has five home runs and 21 RBIs.