Mendis featured in both of Sri Lanka’s games against New Zealand and Afghanistan of the World Cup, taking three wickets.
Mendis is certain to miss most of the team’s remaining four pool matches if eventually recalled, starting with the match against Bangladesh in Melbourne on Thursday.
Sri Lanka have flown in seasoned batsman Upal Tharanga as cover.
“Upul will be arriving tonight but Jeevan will be out for minimum two-three weeks, so he’ll be out … and going back after this game,” Mathews told reporters at the Melbourne Cricket Ground.
“Upul will be in contention (for Bangladesh) but we will among the management and selectors decide if we want to play him or not.”