Scioscia said Trout's rehab will include holding a bat early next week to determine how his thumb responds to increased activity.
Trout, the defending American League MVP, had surgery on his torn left thumb ligaments on May 31, after suffering an injury making a head-first slide.
Trout's initial timetable for return was six to eight weeks, but he said this week that he's hoping to return earlier -- and to play in the All-Star Game.
"It would be pretty cool just to, hopefully, be back by then," Trout said. "Before the All-Star break, right at the All-Star break, just depending on how it goes."