Taylor exited Saturday's win because of what was then called a left foot contusion, and then left Monday's win because of a swollen ankle. A CT scan revealed the break. Taylor described the injury as a "small fracture" but said he was unsure how long he will be out.
"We really haven't even gotten to that point where we discussed a time frame yet," Taylor told Spectrum SportsNet LA. "Right now we're taking it step by step, and I don't think we've put an exact date on when a possible return will be."
Dodgers manager Dave Roberts said he is hoping Taylor will be back in a couple of weeks.
Taylor, 31, is slashing .238/.319/.409 with six home runs and 27 RBIs this season. He signed a four-year contract worth $60 million to return to the Dodgers this past offseason.
The Associated Press contributed to this report.