Rizwan and Irfan both suffered hamstring injuries in the third match in Rawalpindi, where a second-string New Zealand side won by seven wickets to level the five-match series 1-1
Captain Mashrafe Bin Mortaza, who has now lost the toss for the third time in this series, said that he would have liked to have batted first at Dublin's Castle Avenue ground.
The Tigers have already qualified for the series' final and the match provides an opportunity for the players on the team's fringes to impress before the World Cup.
The teams are set to take the field at 3:45 pm (Bangladesh Standard Time).
Bangladesh (Playing XI): Tamim Iqbal, Liton Das, Shakib Al Hasan, Mushfiqur Rahim(w), Mahmudullah, Mashrafe Mortaza(c), Sabbir Rahman, Rubel Hossain, Abu Jayed, Mosaddek Hossain, Mohammad Saifuddin