"Dilshan strained his lower back during a warm-up session ahead of the third one-day at Pallekele on Tuesday and he batted with pain-killers," Senanayake said.
"He has will not play in the two remaining games."
Dilshan's unbeaten century powered Sri Lanka to a seven-wicket victory on Tuesday and the hosts lead the five-match series 2-0.
Dinesh Chandimal is expected to take Dilshan's place in the team for the remaining one-dayers on Saturday and Monday.
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