Gordon, who leads the majors with 30 stolen bases, did not return to the game and will undergo an MRI Thursday.
"The doctor feels like nothing is broken," Dodgers manager Don Mattingly said. "He dislocated it but they're going to have to MRI it. I have no idea about a timetable."
Gordon injured his thumb sliding headfirst into third base and was replaced by Mark Ellis, who was back with the Dodgers for the first time since injuring his leg on May 18.
"I feel like I caught my thumb underneath the base," Gordon said. "It was a weird play and a weird thing happened and I messed up my thumb. It just felt like I hit something real hard. As soon as I got up, I knew I jammed it and when I looked at my batting glove it looked disfigured and then I went in to look at my finger and it wasn't a good sight."
Gordon, who suffered the injury while stealing third base, was unable to use his right thumb after the game after trainers put it in a splint and wrapped it.
The 24-year-old was unsure how long he would be sidelined but hoped to play Thursday in Arizona.
"Hopefully I'm back in there tomorrow. I want to be," Gordon said. "We'll see."