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The match will start on February 11, the Bangladesh Cricket Board (BCB) said on Monday.
The first Test of the series was Shakib's comeback game after serving a one-year-long ban imposed by the ICC due to failing to report corrupt approaches made to him by the bookmakers.
Also read: Shakib: It’ll be tough to repeat old form
He hit a 50 in his comeback innings. However, Shakib could bowl only six overs in that game. The all-rounder was sidelined for most of the match as he had an injury.
Shakib had been assessed and monitored continuously as he suffered a strain on his left thigh on the second day of the first Test in Chattogram.
Also read: Shakib: I don’t count domestic performances
Later it was confirmed that he would not be available for the second Test.
Shakib will leave the national team this week and will be under the surveillance and treatment of the BCB medical department in Dhaka as he continues to recover and consolidate his physical robustness.
The West Indies lead the Test series 1-0 after winning the first match by three wickets.
Also read: Shakib still short of full fitness
Before that, Bangladesh had played a three-match ODI series against the tourists which they won by 3-0 riding on Shakib's performance.