He looks certain to be named in Australia's squad for the World Cup in West Indies and the United States
The BCB did not make any changes to the team that played Pakistan, except dropping fast bowler Shahadat Hossain, who is injured.
The 14-member squad was announced on Wednesday.
The Indian cricket team is expected to arrive on Monday for their Bangladesh tour, which consists of three ODIs and a Test.
Bangladesh Test squad: Mushfiqur Rahim (Captain), Tamim Iqbal, Imrul Kayes, Mominul Haque, Mahmudullah, Shakib Al Hasan, Soumya Sarkar, Shuvagata Hom Chowdhury, Litton Das, Taijul Islam, Jubair Hossain, Rubel Hossain, Abul Hasan and Mohammad Shahid.