Chandler suffered the injury in the first half of the Sixers' preseason win over Melbourne United on Friday.
The Sixers say Chandler will be re-evaluated in two to three weeks, so his availability for Philadelphia's season opener against the Boston Celtics on Oct. 16 is unclear.
Chandler was acquired in a July trade with the Denver Nuggets. The 10-year veteran is expected to give the Sixers depth on the bench.
Chandler started 71 of the 74 games he appeared in last season for Denver, averaging 10.0 points, 5.4 rebounds and 2.2 assists