"He could be ready next series [against the D-backs]," Bochy said.
Morse will work with the club's physical therapist this weekend and will be evaluated once again when the Giants return home from their current road trip.
The 32-year-old is batting .280 with 16 homers, 61 RBIs and a .477 slugging percentage.
Matt Slovin is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.