According to a report, Tamim has been advised one month's rest after he consulted a physician in England on Monday
All-rounder Shakib Al Hasan was also included in the squad but will have his fitness assessed following a hamstrong injury before being considered for the first Test.
"Shakib sustained a left lower hamstring strain while fielding during the match against the West Indies," the team's doctor, Debashis Chowdhury, said in a statement.
Reports of a feud between Bangladesh captain Mahmudullah and BCB president Nazmul Hasan Papon have been doing the rounds, and coach Domingo has been trying to keep the team’s focus on upcoming matches.
PCB 'explored possibility' of inviting Bangladesh, Sri Lanka for short tours following NZ pullout, says Wasim Khan
PCB CEO, Wasim Khan said Sri Lanka Cricket (SLC) and Bangladesh Cricket Board (BCB) showed a willingness to play in Pakistan but there was little time in hand for them to send their teams.
Bangladesh vs Australia: Mushfiqur Rahim, Liton Das ruled out of upcoming T20Is due to COVID-19 protocol reasons
Mushfiqur and Liton left a recent tour of Zimbabwe early because of family emergencies and must isolate before rejoining the squad, said Bangladesh Cricket Board chief executive Nizam Uddin Chowdhury.
The visitors will land on 29 July ahead of the matches on 3, 4, 6, 7 and 9 August at the Sher-e-Bangla National Cricket Stadium in Dhaka, likely to be held behind closed doors.
The Bangladesh Cricket Board said the 34-year-old would fly straight back to Dhaka and appealed for the media to "respect" his privacy.
According to a report in Cricbuzz, Mahmudullah informed his colleagues that he is not willing to continue his Test career anymore, leaving the team management shocked.
The tour will feature a Test, three one-day internationals and three Twenty20 internationals. Players will be in a bio-secure bubble.
Local media quoted Bangladesh Cricket Board officials saying Mushfiqur was tired of biosecurity measures brought in because of COVID-19.
IPL 2021: Shakib Al Hasan, Mustafizur Rahman won't get NOCs for UAE leg, says Bangladesh cricket chief Nazmul Hassan
All-rounder Shakib and left-arm pacer Mustafizur play for Kolkata Knight Riders (KKR) and Rajasthan Royals (RR) respectively.
Bangladesh vs Sri Lanka: Three members of visiting contingent test positive for COVID-19 ahead of first ODI, says report
Bangladesh Cricket Board has ruled out the possibility of the match being called off.
Shakib Al Hasan had claimed that BCB has 'misrepresented' his decision to play in the IPL at the expense of serving the national team in a Test series against Sri Lanka.
Shakib-al-Hasan has decided to play in IPL 2021 instead of the Test series against Sri Lanka as he feels it would help him prepare better for the next T20 World Cup, which will be held in India later this year.
Sri Lanka was originally scheduled to play three Tests, but under the revised schedule only two matches will be played.
Shakib was picked by Kolkata Knight Riders for 32 million rupees ($441,304 dollars) in an auction held in Chennai on Thursday for the next IPL beginning in April.
Shakib picked up the injury during the opening Test defeat in Chittagong that ended Sunday.
Under the revised schedule, Bangladesh will play three ODIs and an equal number of T20 Internationals between 20 March and 1 April.
The Bangladesh Cricket Board has ruled out resuming cricket at all levels until all players are vaccinated.