Eoin Morgan and Adil Rashid are already recovering from injuries.
Archer, as expected, has been included in the squad.
ECB is yet to announce a replacement for Alex Hales who was axed from the squad.
Fidel Edwards added to the Hampshire squad in the place of Brad Wheal.
Kyle Abbott has picked up 14 wickets in only six matches in this tournament.
The third ODI will be played on Wednesday in Pallekele.
With the left-arm spinner out of the action, the ECB has already named a replacement for him.
Plunkett will miss the first three match due to his wedding.
Here is what the cricketers are up to on Twitter and Instagram.
Tamim has played six games in the tournament thus far and has scored 161 runs at an average of 32.20