"I'm really surprised -- in a good way -- not just that he's ready, but that he looks as good as he does," Indians manager Terry Francona said.
Moss, who is recovering from offseason hip surgery, ran the bases at full speed Saturday.
"[He] ran a couple singles, first to thirds, doubles, second to home -- he did everything," Francona said. "I was actually amazed with how good he looked. He's going to do it again [Sunday]. We're going to take him out and make sure he slides on the mats."
Moss likely could have played a couple days ago, but the Indians did not want to rush him back, as they want him to be healthy for the 162-game season, not just for a few games in March.
Moss struggled down the stretch last season because of the bad hip, but the Indians are hoping his power will come back now that he's 100 percent healthy.
The 31-year old has hit at least 21 home runs in each of the past three seasons, including a career-high 30 in 2013.
William Boor is a reporter for MLB.com. Follow him on Twitter at @wboor. This story was not subject to the approval of Major League Baseball or its clubs.