Jeevan Mendis, 32, a left-handed batsman and right-arm leg-spinner, suffered the injury during training ahead of clash against Bangladesh at the Melbourne Cricket Ground.
Sri Lanka all-rounder Jeevan Mendis believes the seven-match series against New Zealand will help them in during the World Cup starting February 14.
The Lions have also won their past three ODIs at the Melbourne Cricket Ground, boosting their confidence ahead of the five-match series after the 3-0 battering they received from Michael Clarke's team in the recent Tests.
Ajantha Mendis bettered his own T20 record by taking six wickets for just eight runs as Sri Lanka walloped minnows Zimbabwe by 82 runs in the opening match of the World Twenty20 cricket tournament, here on Tuesday.
Until Suresh Raina exploded in a flurry of strokes, Sri Lanka, driven by experience and buoyed by youthful exuberance, seemed to have played the key moments better at the R Premadasa Stadium on Saturday.