Wanindu Hasaranga will miss the whole series with a left hamstring problem during the second T20 international against West Indies
Sri Lanka will be without Kusal Perera for the first Test against England in Galle due to a finger injury.
The 29-year-old took a blow to the middle digit of his right hand during the second T20 international against West Indies last week.
After missing the first Test starting on March 19, Perera could return in time for the conclusion to the series in Colombo which begins on March 27.
"Kusal's finger is a minor bone disorder," said Sri Lanka team manager Asantha de Mel. "It didn't hurt the bone."
Despite producing a Test innings for the ages in South Africa last year, Perera has not played in the longest format since August's visit of New Zealand having skipped the Zimbabwe matches.
Meanwhile, Wanindu Hasaranga, who was in line to earn a call-up to the squad for the series due to his white-ball performances is expected to be sidelined for both Tests due to a hamstring issue suffered in the same game.
"The disability of Wanidu's thigh is quite big," added De Mel. "As a result, the doctors have advised him to rest for six weeks."