Quentin is expected to be the designated hitter on Tuesday and play in the outfield on Wednesday. He'll switch from being the designated hitter and playing in the outfield during the rehab assignment.
"Carlos looked good, and he's excited about going out," Black said. "Our medical staff and Carlos both feel as though he's ready.
"He had a good weekend in San Francisco, doing a lot of early work. He's confident."
Quentin ran the bases and worked on diving back to the bag and tagging up at third base on fly balls before batting practice on Monday.
"It was good," Quentin said.
Black pointed out that Quentin got just 15 at-bats during Spring Training before he suffered his right knee injury. Quentin underwent arthroscopic surgery on March 19 to repair meniscus tearing and to remove loose particles in his knee.
"A regular player going through Spring Training, it's usually 50-70 at-bats," Black said. "I don't know if he's going to get that many [during the rehab stint]. He's been down for well over a month. He needs to see the ball. He needs to get his stamina back to play nine innings."