Litton has not captained Bangladesh in an ODI before but has led them in a T20I back in April 2021.
"Litton is one of the more experienced players in the side and has demonstrated leadership qualities. He has a sharp cricketing mind and reads the game well," Jalal Yunus, BCB's chairman of cricket operations, said in a statement. "It is most unfortunate to lose Tamim to injury for this very important series, especially because under his captaincy the team has played some outstanding cricket in the last couple of years and he has been our most prolific batsman in this format.
"He will be missed but we also feel that Litton has the attributes to do a good job as captain."