"He is expected to join the team before the next World Cup game, which will be played against Australia on 15th," SLC said in a statement.
Malinga has had a mixed World Cup so far.
He had a match to forget in the opening 10-wicket defeat by New Zealand when he conceded 46 runs in five overs without taking a wicket but bounced back with 3-39 in the 34-run victory over Afghanistan.
(Reporting by Shubham Kalia in Bengaluru, editing by Nick Mulvenney)
