The Cincinnati Reds center fielder has been taking batting practice, but the left wrist he broke while wrestling with his kids in December remains sore.
Cincinnati manager Jerry Narron said Monday that he hoped Griffey would play this week.
Griffey has taken fly balls and made throws from right field in practice.
Cincinnati had planned to let Griffey play in right field during spring training, but problems with his wrist prevented that.
PADRES: Left-hander David Wells has Type 2 diabetes, which the team says is controllable.
"It's something he'll have to manage and something we'll have to help him manage," chief executive officer Sandy Alderson said. "It's not unprecedented by any means."
Wells was diagnosed two weeks ago, the San Diego Union-Tribune reported in Monday's editions.
Asked if he feels less energy at times, Wells said: "It depends." He declined further comment on Monday.
MARLINS: Manager Fredi Gonzalez knew long ago Dontrelle Willis would likely be his first opening day starter. And throughout spring training, it was assumed that the plan hadn't changed.
So when Gonzalez finally announced the decision, only one guy seemed taken aback.
"Of course I'm surprised," said Willis, who'll face the Washington Nationals in the opener. "I'm excited. I wanted it, but that doesn't mean I'll have it next year. You never want to assume anything in this game."
DODGERS: The pitcher who made more headlines for his rocks than his lobs during training camp this spring was reassigned to the team's minor league camp.
Matt White, a 29-year-old left-hander, discovered a valuable rock quarry behind a house he bought from an aunt three years ago in western Massachusetts.
The attention the quarry received wasn't to blame for his reassignment, he said.
The reliever allowed one earned run and two hits in 7 Q innings. He said he will be sent to Triple-A Las Vegas, where he is likely to be a situational left-hander.